Etude du Signe

    ↬ Les racines correspondent aux valeurs de x qui annulent la fonction

    ↬ Ne développez pas les termes, au contraire l'objectif est de factoriser

    ↬ N'oubliez pas de mettre la double barre pour les racines du dénominateur

    ↬ Parfois l'exercice impose un intervalle pour x, dans ce cas mettez bien les bornes min et max de x sur la première ligne du tableau

    img

    Fonction Affine

    ↬ Une fonction affine est du signe de son coefficient directeur a, à droite de sa racine

    ↬ La racine correspond à la solution de l'équation ax + b = 0

    ↬ Si l'ordonnée à l'origine b = 0, alors nous avons à faire à une fonction linéaire

    ↬ Si a = -3 4 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf , alors la droite sera décroissante et vous vous déplacerez de 3 unités vers le bas, puis de 4 unités vers la droite

    ↬ Pour a = - 3, idem sauf que vous vous déplacerez de 1 unité vers la droite car - 3 = -3 1 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf

    img

    Dérivation

    ↬ Le domaine de définition de la dérivée de f(x) = x MMF.7h]Z3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDh_bB8cCPbi(b[ZJfU9:bfdBSmnm`799PPZYF9J=3l1RlF6a4;EMI)mGjnD|GjbbRmN;kGbMc_;E)UPFaknFaL?^lnB^[9h?nn9alW6gWoa[Ye9NGVccAGjK1^To;lEaMmQO0J[^doD6P`*VW4CQA:3VUeVN1R32RMCh5X1Z|)o0_=(J[NW_MkNcAAILG[aMK3MYWRnb6lYP|lUVbcChl5aFTdei?)kf3nSmO0a4^5c)bogaYOZFUOoEFj0JQ]GbA2e[]N[DZlLoKZZbo;^ejB6K3fM)`T6]SXHgSl=lme*nCe0gFAnNRWe[|N7ll5;]T1_gCdKmHHce26dHh*gWR((iiS127DJh`cQi66H?hoCU:Gfo^A`kmA7jlQamNHjn7:4_AnS;LOYbV;hLYjm6CUn=d5NWm9gn)ehM6H:|I*PQ=5j?fU2IFUHXPoI08hRmTb63m8J835j)FBA;CY472*;[IFaP2)_EG`:BABeB6^1UbE`X3C)e=J0d`1](^o(GUdFSSi6KV2Z?[4?B[doH9RhAd`1PVDRZSYMYNjdlL5FHn|Q02CAba0=C7D0eR2XA=B3Y9BL59leBT5B1Y06:|I)l1=:`9C`56GNiBM_OTmM0l**D|88XM`H=D)d18]3lM4`_^8ZjOEG(R2_;HbL(J9j2YQB|3j0UXjXEMm(Le2WXaY5B^6Z=_Q^Jo[6(R4hH4B=hJo4d3:GQea]n54ICWcC]H=beJ5RIR?N0XBbTUbfCTjkC8|5TePZAk4XJlB94K_|6V2iZ5;58M0RZbB)bSW63TVjGV5n6V3M2c?J?JGmo6F;]:Q]kI?PB8]o|6K=FS6UokFGGQciUBm|[7l_bkFgMQ`eBg(*KdMIMd:2XXfHYPJ]f7UQVBK[D4|5TE_i4|QdCeEDfdJbm4l()9XWhTYQeC68iB=P=0b5j|dE07l[Nh59|lPS=PNT)24A_:8VhQb`_5`SFR02RIn^=AW23ZCDYEm[FF5o;5QZn()8P3WD7Z2QGKLQNEMb0K4lOg8RD3I0L^9_A05hB=b=URoSIP1^C]TF|=D2bb`6:Odji(MT)653|OP0)B]4i^_i|(_BCd[B^_M=a`k8]Y9^F7FY;LS)k`hm(4KZd*hGoJeC_BEI`Z6o5UkNj;W9foQnlEN4ZjoGFokE^lY5EHdCU;HjU`lYKSM?ll?;Fb6DaUUGLFV=WSG]FNgI]L[hJ?bTFd94(I[eN[O90C?4nRFV4Kb01V`aEkW?QjLnC[ane3PIdl|N7bMZP1Y`7WSa[0ceecZ[Zh?gXHO=j]bnZKcF)4FOU*g4|Jf`A[l]7mff|eRBX^BnZGO7Y|I*nFj:*7SmkA(VWGhmEhK5T:mikWA[*j*6M)M4ESlR07R?`AU_gRio(7Z0|W)b*XYHZZYjk9[Dk6e9XkjTY23[?KmMh6=VQN|8_YGWimNSk|gk1E;P)Wjm^EjMnN9[^Id30IKSXnSLG7:G=QfE0IE]TND3Q=[n^?Uk?=RTIgbQjUZMIC]mG[eng)AECG;jB?0odiM_f7_gNg]3cOeEd0IX.mmf est MMF.7h]V3`00QEM]Lm|f3?h5oPonZ=`Y?X8_4]E_SZMV_|EbcUKKgLgkX6EZjY]ONXZj]N_U_hlP:*Ub9Bm)HS`02N01*ESN;K)gjleZWRoGfNCkI;OHY?=l_*UFAOeYECc_WjJ?IOEb?QF7jHOmJOZgWW5n(mWUbo`Q3CiFaE)m?imVWn[S`FSOYi^]lA)XL1Z5DfHd?lgc=008YcZLLPI6bn4=Smi`=:Jo?Sk(UeU`(gVMk;IYWRncNlaQ^lgVZcAhme9FdfeIeo_C|eWmDPL|G:dFiJWnDWg;bWmL1:)6HCFoD7)W5YejOOSc_R[;_eZK7;9iMn[27CQe=1`l3_?m|GbI6]edLchFYmJR`lGiBkDgg)SjI7*mS;4NX*dS_)4JLKS674JX``Qg62L?`naQW3joY)n3lk5C7j7?[m7WenSc4OYlQ3hOYln7jO=anV;Tm(D8OG59gn[o=EN7Ql2M3264b^^==QC:bL;883f*1|AnTD83mhH83Ej)RBN=Rb8?4P)dUdd3*nQfO`i*ITk4=(3;W2c1==A()h1YP3NX=_9WVdFSS`dg=Q(NJH^hgin*83HAe*0PVG2|SYLa_1*Nf2[(_6O011XiXXja3R0JQ9F86Y3dT^)(TRHYL:a0dP11f75J0Zk85YX2Sk_L^)k7Y3D*=041Y232WT43A7^01TQj)Z[WG4AMG14ChT9Cg`T1TZHP(*G]7DQ)Z4Y1UdT:G0ZbFHPYg;I6g`e=ofQ2A2J4R6:d]FPJ2]?`naDm2RFaCiYfD?IJ=:aDA7]0HAKLbi[8BMMY4B(bJHF8MbF=J14R6kh1Z_(JAL*C7X9XlXRdIMbPY8|Bdl|*ddJ8BO`Hho_;44]KfMPSAKLPnBIVC5Xaa_SBbkH?OLXJ``__Bm?`f_EQP`*edDKD[P|J57GD=2I`flh3CBa9Ue[2R4c:Wg0B(A5MIA=9fS]Ai62BR6j9BLLTVX:4g31P[3MK6?*Qk`d^*BH?TaBXkX20mHHBRg]8dg818hd8`7ZfgVP4)iQJTk2UKHg^F[I*dHdA1G4X)h15^FeMmZYR1fAknV1796l0Yl3NS0K*T]PIbE]4c`K|V=*]8Zd1W5`)4?AcbXk9M|208?L3c:1TgD;KWdf6OU:ZMVW_M)b`K0]YYfF7fY;Lcao=AbH;KMZQ()l)^IQX1H_jE_?bE]]5eTkO`E^5fJFmG__ofThn]4[SDGR;IFVal5IU=Cnl_3FbFHaU5KOFf5[SWUEOgI]L[lKo50_`B0JcgZcGNL1ViSjaFFCn00GCI4IU?aN)7bnnOSPM3)ShS`nCcR065PllNCX3?WG)Zn[|en73i]gnE5CO78h=c|[WXRhMePI_bT)1glNL9S6JmdFe;ohhU=aWRaCBn|TSC3kmFUN5aic|N)]eHT0W1gCZ*ULL30=lS30gF]]OllW|PI6IUBdBf595eE|^DFg?1QGB[iCXa2aN?6c(HFCWjVRnU^KUem[gYg_1S=T)Gj`OeYO[c6WJW`71K3)KkWjacXfdOKL:|6c;;0o*gOKWmHNknCI5hb]jco8dbo7kj]gggN:g((B(kLo_`NKVeJci3fXO=AD.mmf +* = 0 ; + MMF.7h_N3`00QEMOLn963?l4n*hlVQV7FNdONgem8]BG(PdV0kiL7gQa[fk:=86[`kEgcNBkEeZ_KIVcJDR2OY9FdTn[GLa^VKeOKeKcO;W)[Uj_MX]=)|oGVf1EW?iH5HokCi?k|WXi7XZWbLOmHO:gWDTi_M[Ubo`^3M:o_QBWoO5`3JQjB3MK31:HL1:54h6J7nMi6P244jW`C`2Z8GjWTWMBXcGmiOi^_|b2jMGKeFjKi_Tb^jD:]]]|_TZ33bmU=MVFYm?nl8SN;jM0Q:_EXSbL_UCO|_:O)PFZHEP]cmBbEZ])_GkjkKHZbcmKVajbnG3V;1cDjVPhNAcVnnObIH:jbNKhG1aJR`dGaboE7[UaofCD7lIHSm264Mi`RCQLHPhSe664)hbCQf7f(4iOW]?gbNGH[Xo*UiOXbd_di*Qm)D9OS])G`oCU)7de|_]ZQ;hjYnodon;ATB78FXH**^?eZ0fEZFF5(VP?=8;H)aTbB6n8b)3UV4Fbi1AiT22`G|H1Q[1NoCTPFM*RU*5NU|b5bS0cF`(Z0kc1]9To^bXJOHcLa4aiI1fBOWg2T[Q2C0)0EB:Y)ejVm5Yih;X`li612VSTR0NV?X1Z47DRJT3B:dh:CYZE8:T3B*(DHbMi2jAQBgP9(^iZTkJOToM0l*8D|8HX]`L=D)d68]1lMd`_^8Zj_2YVa9GU|A(6=2m1D`WF1m2BDMF:^fT)jQ9dhdPUG;M6?`g=o5Q6A2N(R15l]7PIQ|[`j`gO2Z=YCYYa()iH=:a(a6O0D1GBbiK9BCMYTF0b6hE8MRf=N1(RUkh1YX|JAB`BKH9ZjXR|HmbPY(|Bll(*ld68FOjHl__346_GfMPS`iL*nBIWc4HaY_cJbfh)OLVFdR|Obo;d]Yk31RU^hX=XjbUXD=AA|eC0MG|OF6I9^]8B`FCFoTBbS8WZ)Y]X=]j9HA^CA7a9c2HV|A`Tk8B14;fkAD0Ob]k5YMS=8c*7Y]|P4;e;BL*mI7Vk*;11110mFnmZ17La]BKUF]|Jjf?I*|(GAQc4XNh0=NFj3MW[R[|Pfmd7MdG:1TP)g(UX06n9^b=URoSNP;|VKH_HJ81TQ`(DoiabefAk`H1Ri`?`XQBMXi_?YT9oDi[F]KLkk[9|6nU^b`je;KVMgn=7YPQMfJ72ma[E)LT:3_F]n?9F=dG)c]o1FaF^|Ui_oGo[KSjbJXbX_(FaM5QiZg6JkekN6[TZaZZ:Ff_|[77?JRn^CBighgnJ1K*UPeE_e^|l43(lCf8FhAn*P4)6:_Nil?ckfMN?FPL3)_Wm`fA]D0?)0dnN]H6N)^MEMOAnm;1i|clDeKLJahRcl[4hUCFfR3OUTo|fEV|Be3`DeKkhmJVD_UZRT9hnNDC5Yem?EN6aI2_NNidJd)T1WCWC5Do8P1hSl4AKmh^Oc1jP;9c|T::A:ZZN^bJefa]BJ)nY:*Pj;nhf^1WI|G[6;jEinOGTik=n`Dbh2En|kmKWO[RKkVM0`6Fhj)IW5abUkHME*6eKIWU0hKHo[CoNc;LY6MlXNYJWFDkOEfmNMgU07lJ_:;k]7X9Xn[KKhW(GC)U=a]?M8_QQbY`Jj`8cM0|0bJ4C=4iTgFgaZ3TOn^o2K?51bkJA)go_m8KEo*LMF:Dk.mmf

    ↬ "Le coefficient directeur de la droite est a" et "la droite est tangente à la courbe en a" ⇢ Ne pas confondre les deux a !

    ↬ Lorsque vous calculer f(q+h), vous obtiendrez un résultat avec des "h"

    ↬ Pour un fonction affine ou linéaire, le taux d'accroissement est constant (il ne dépend pas de "h"). Vous avez donc directement la valeur de la dérivée, sans remplacer h par 0

    ↬ Lorsque vous déterminer graphiquement f '(3), vous devez prendre le coefficient directeur de la bonne tangente, c'est-à-dire la droite qui colle la courbe en x = 3

    ↬ Si possible, passez par le calcul de f '(x) plutôt que par le taux d'accroissement pour déterminer f '(3). C'est plus rapide

    img

    Multiplier ou Diviser des Fractions

    ↬ N'oubliez pas de mettre des parenthèses lorsque le numérateur et le dénominateur contiennent plusieurs termes :   x+1 x-2 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf x -x+6 x² + x + 1 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf = (x+1) (x-2) MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf x (-x+6) (x² + x + 1) MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf = (x+1)(-x+6) (x-2)(x² + x + 1) MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf

    ↬ La barre de fraction fait office de parenthèse, je vous conseille donc de les faire apparaître au numérateur comme au dénominateur. Notamment, quand vous avez un signe "-" devant la barre de fraction. Ex :   - 2-x x+1 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf = - (2-x) x+1 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf = -(2-x) x+1 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf = -2+x x+1 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf

    img

    Additionner ou Soustraire des Fractions

    ↬ Lorsque vous avez une somme ou une différence d'une ou plusieurs fractions, il faut systématiquement mettre chacune des fractions sous le même dénominateur.

    ↬ Lorsque vous mettez sous le même dénominateur, la soustraction (ou l'addition) ne s'applique pas au dénominateur, on a   ad-cb bd MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf   et pas   ad-cb bd-bd MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf

    ↬ Comme la barre de fraction fait office de parenthèse :   - 2-x x+1 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf -2-x x+1 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf . Faites apparaître les parenthèses au numérateur, puis distribuez le signe « - » à tous les termes du numérateur. Ex :   - 2-x x+1 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf = - (2-x) x+1 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf = -(2-x) x+1 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf = -2+x x+1 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf

    ↬ Ce signe « - » n'est rien d'autre que le nombre -1. Appliquez alors cette méthode dès que vous avez un nombre réel devant la barre de fraction. Ex :   4 -x+4 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf = 4 (-x+4) MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf = 4(-x+4) MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf = -4x+16 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf

    img

    Résoudre une Equation

    ↬ Attention à l'espace de résolution de l'équation, est-ce l'espace des réels MMF.7h]V3`00QEM]Lm|f3?h5oPonZ=`Y?X8_4]E_SZMV_|EbcUKKgLgkX6EZjY]ONXZj]N_U_hlP:*Ub9Bm)HS`02N01*ESN;K)gjleZWRoGfNCkI;OHY?=l_*UFAOeYECc_WjJ?IOEb?QF7jHOmJOZgWW5n(mWUbo`Q3CiFaE)m?imVWn[S`FSOYi^]lA)XL1Z5DfHd?lgc=008YcZLLPI6bn4=Smi`=:Jo?Sk(UeU`(gVMk;IYWRncNlaQ^lgVZcAhme9FdfeIeo_C|eWmDPL|G:dFiJWnDWg;bWmL1:)6HCFoD7)W5YejOOSc_R[;_eZK7;9iMn[27CQe=1`l3_?m|GbI6]edLchFYmJR`lGiBkDgg)SjI7*mS;4NX*dS_)4JLKS674JX``Qg62L?`naQW3joY)n3lk5C7j7?[m7WenSc4OYlQ3hOYln7jO=anV;Tm(D8OG59gn[o=EN7Ql2M3264b^^==QC:bL;883f*1|AnTD83mhH83Ej)RBN=Rb8?4P)dUdd3*nQfO`i*ITk4=(3;W2c1==A()h1YP3NX=_9WVdFSS`dg=Q(NJH^hgin*83HAe*0PVG2|SYLa_1*Nf2[(_6O011XiXXja3R0JQ9F86Y3dT^)(TRHYL:a0dP11f75J0Zk85YX2Sk_L^)k7Y3D*=041Y232WT43A7^01TQj)Z[WG4AMG14ChT9Cg`T1TZHP(*G]7DQ)Z4Y1UdT:G0ZbFHPYg;I6g`e=ofQ2A2J4R6:d]FPJ2]?`naDm2RFaCiYfD?IJ=:aDA7]0HAKLbi[8BMMY4B(bJHF8MbF=J14R6kh1Z_(JAL*C7X9XlXRdIMbPY8|Bdl|*ddJ8BO`Hho_;44]KfMPSAKLPnBIVC5Xaa_SBbkH?OLXJ``__Bm?`f_EQP`*edDKD[P|J57GD=2I`flh3CBa9Ue[2R4c:Wg0B(A5MIA=9fS]Ai62BR6j9BLLTVX:4g31P[3MK6?*Qk`d^*BH?TaBXkX20mHHBRg]8dg818hd8`7ZfgVP4)iQJTk2UKHg^F[I*dHdA1G4X)h15^FeMmZYR1fAknV1796l0Yl3NS0K*T]PIbE]4c`K|V=*]8Zd1W5`)4?AcbXk9M|208?L3c:1TgD;KWdf6OU:ZMVW_M)b`K0]YYfF7fY;Lcao=AbH;KMZQ()l)^IQX1H_jE_?bE]]5eTkO`E^5fJFmG__ofThn]4[SDGR;IFVal5IU=Cnl_3FbFHaU5KOFf5[SWUEOgI]L[lKo50_`B0JcgZcGNL1ViSjaFFCn00GCI4IU?aN)7bnnOSPM3)ShS`nCcR065PllNCX3?WG)Zn[|en73i]gnE5CO78h=c|[WXRhMePI_bT)1glNL9S6JmdFe;ohhU=aWRaCBn|TSC3kmFUN5aic|N)]eHT0W1gCZ*ULL30=lS30gF]]OllW|PI6IUBdBf595eE|^DFg?1QGB[iCXa2aN?6c(HFCWjVRnU^KUem[gYg_1S=T)Gj`OeYO[c6WJW`71K3)KkWjacXfdOKL:|6c;;0o*gOKWmHNknCI5hb]jco8dbo7kj]gggN:g((B(kLo_`NKVeJci3fXO=AD.mmf ou des complexes MMF.7h]S3`00QEOKL]]63?d2oh(NjAUJ|mPklbJ[S:^YAGTT9^U(e*LfIEe=IBVUiCAYa_oNaG99PPZYFYJ=0n`2)5P|A6dGfM_ENSW;5j_|j]_EM[i)IoUZ7Bf;dio;hW7gLO9*E|o7*k6OO=PM9Yo]U??[Zffnb)oC:?gkYCS]SXLKL:[gjG[SW4*ZW^Qh`YcVQeVNAQ1?^71_1RJN07_3i1^UWC7mnN5n]|RRjj_GZndVcO=5MXL9K3KIK9U6kik;J[8YCjOMhM6]OSi5;5h^inGQm59mcLYojPQ)3L=ZOZKV]EYdj]Gnmk^Z;?mZKG;85]bY(gM*ZoE`L1?W^jObNN9dToGaZCRd5Q_?SboEcW6Sji?AmC36NX*fS?26BlCQ4W(HX*hSg66L?0bcQg7jo9an2(k7CWf4?[m4WenRcdOXla7jO9`n7jK?anV;TM(G8oC5)Gf_omMM7Ah3[fF88EI1kkBaD;D|W0`b0)V02H|D6WP`J3*4fA1?5QOY0187K91M0d=LkohDXLaZ4M)087)b1==*De|3C0)2*KFA?oT|6[eag=QD16*mhV5o*X;hA5*3P6C2|CY1a_1B1)2[(0fN0A=XI4dMHae0=0P[XA^*m9;SS98V:G2|*=80*MQaFP:^b1JJ0SMMK]cfHm8J29Z0058*hLnP0J8m*0LT?AgELbid5eLH*UaHjS|Q*=8D9:IPP`?92EDYj399*If2K1IR2SN](GA3dcnF49498J8HKBfJQ|8d`Wi5Sd99k9)V7IBo5Pd[YFT?:(b21mTB)NTjCC(RTeK*_2^YYTG*?W`3E)MEJn893d4dNFS[6CLXjJ8HNQT(K*A3hQ^(7bj3TKjb9R15]b3i9ZHQ[FP`_Pbbkl)*||G`8_Rb=;b]nk11PYYX8mZj2aZT)fXF4kQYih4UUZA;;F549^E?)8VHR:jbRBC]WBQb(8VVF`cYV(ABT90K1XceIP^3?^Bm`BG8i66B0]DM4;3ND6:VQb`]5c3BR02|In^=A_23ZCD9Gm[FF5o;5RZjDE=PH]T1;(Y=jk9G5ClPfm(7?b9i0cP5oVHdP9K4cdSN8WXfh(NTKA5Y3N3TLX2PWe=nC;H31PBi7n069N|Fn_i|(PbCD[E;NjOSQfEKB3l])mBFi6kfh3hbFNcCSXGkGj(j9U[1XkkE_H;EMi6gdol*[(;]|T5_`eo[9amJYO(XP|Fcm5P4Zo:Jkek1ZWdFHeVIeVZleOB|m^;Ni78eoZMHP4LbV?Ej]LXS=WGgRDfeN`(:[|VLbWl^??eam_FSe|60SWoo(5TKa(3RPBO?fX1?WK)Z)XIen;1i^c|DeMLJ6hNcl[4hUCFf3Zo;_OlbEV|BYgUOE;_R]gg9*kI88Cem30RCCknLZR9PCWJl3CXaX9(3)WFV:oJ)0Ci6^1]]oJokI0k0bLc;7PU|ZJ;Z;INXmVN32QUFBWCR5|o_enh`|V?ei;jCi^FGDnS?nPECiS]l_[YOWJmcYnUo1PBgcFfjoLTkMm;VgC;2|Rfb?49gVamG7fiWVaB=[nPmbm(|ann[]mnfleoR63?f?km6ln]G]nHo]?6?X*.mmf ?

    ↬ Ne pas considérer que l’inconnue sera toujours noté x. Vous pourrez tomber sur des inconnus notés t, n ou p.

    ↬ N'oubliez pas de mettre des équivalents ⇔ entre chaque équation.

    ↬ N'oubliez pas de mettre des parenthèses si nécessaire : 3 + x = 4 x+2 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf ⇔ (3 + x)(x + 2) = 4

    ↬ A la fin de la résolution, concluez en écrivant S = { solution(s) de l'équation } ou S = ∅ s'il n'y a aucune solution.

    img

    Domaine de Définition d'une fonction

    ↬ Certaines fonctions correspondent à un mixte de cas, il faudra alors prendre en compte les contraintes de chacun des cas. Par exemple, pour f(x) = 1 x-1 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf , nous devons avoir x - 1 ≥ 0 (contrainte de la racine) et x - 1 ≠ 0 (contrainte de l'inverse). Ainsi en regroupant ces 2 contraintes, nous obtenons x - 1 > 0 , d'où Df = 1 ; + MMF.7h_N3`00QEMOLn963?l4n*hlVQV7FNdONgem8]BG(PdV0kiL7gQa[fk:=86[`kEgcNBkEeZ_KIVcJDR2OY9FdTn[GLa^VKeOKeKcO;W)[Uj_MX]=)|oGVf1EW?iH5HokCi?k|WXi7XZWbLOmHO:gWDTi_M[Ubo`^3M:o_QBWoO5`3JQjB3MK31:HL1:54h6J7nMi6P244jW`C`2Z8GjWTWMBXcGmiOi^_|b2jMGKeFjKi_Tb^jD:]]]|_TZ33bmU=MVFYm?nl8SN;jM0Q:_EXSbL_UCO|_:O)PFZHEP]cmBbEZ])_GkjkKHZbcmKVajbnG3V;1cDjVPhNAcVnnObIH:jbNKhG1aJR`dGaboE7[UaofCD7lIHSm264Mi`RCQLHPhSe664)hbCQf7f(4iOW]?gbNGH[Xo*UiOXbd_di*Qm)D9OS])G`oCU)7de|_]ZQ;hjYnodon;ATB78FXH**^?eZ0fEZFF5(VP?=8;H)aTbB6n8b)3UV4Fbi1AiT22`G|H1Q[1NoCTPFM*RU*5NU|b5bS0cF`(Z0kc1]9To^bXJOHcLa4aiI1fBOWg2T[Q2C0)0EB:Y)ejVm5Yih;X`li612VSTR0NV?X1Z47DRJT3B:dh:CYZE8:T3B*(DHbMi2jAQBgP9(^iZTkJOToM0l*8D|8HX]`L=D)d68]1lMd`_^8Zj_2YVa9GU|A(6=2m1D`WF1m2BDMF:^fT)jQ9dhdPUG;M6?`g=o5Q6A2N(R15l]7PIQ|[`j`gO2Z=YCYYa()iH=:a(a6O0D1GBbiK9BCMYTF0b6hE8MRf=N1(RUkh1YX|JAB`BKH9ZjXR|HmbPY(|Bll(*ld68FOjHl__346_GfMPS`iL*nBIWc4HaY_cJbfh)OLVFdR|Obo;d]Yk31RU^hX=XjbUXD=AA|eC0MG|OF6I9^]8B`FCFoTBbS8WZ)Y]X=]j9HA^CA7a9c2HV|A`Tk8B14;fkAD0Ob]k5YMS=8c*7Y]|P4;e;BL*mI7Vk*;11110mFnmZ17La]BKUF]|Jjf?I*|(GAQc4XNh0=NFj3MW[R[|Pfmd7MdG:1TP)g(UX06n9^b=URoSNP;|VKH_HJ81TQ`(DoiabefAk`H1Ri`?`XQBMXi_?YT9oDi[F]KLkk[9|6nU^b`je;KVMgn=7YPQMfJ72ma[E)LT:3_F]n?9F=dG)c]o1FaF^|Ui_oGo[KSjbJXbX_(FaM5QiZg6JkekN6[TZaZZ:Ff_|[77?JRn^CBighgnJ1K*UPeE_e^|l43(lCf8FhAn*P4)6:_Nil?ckfMN?FPL3)_Wm`fA]D0?)0dnN]H6N)^MEMOAnm;1i|clDeKLJahRcl[4hUCFfR3OUTo|fEV|Be3`DeKkhmJVD_UZRT9hnNDC5Yem?EN6aI2_NNidJd)T1WCWC5Do8P1hSl4AKmh^Oc1jP;9c|T::A:ZZN^bJefa]BJ)nY:*Pj;nhf^1WI|G[6;jEinOGTik=n`Dbh2En|kmKWO[RKkVM0`6Fhj)IW5abUkHME*6eKIWU0hKHo[CoNc;LY6MlXNYJWFDkOEfmNMgU07lJ_:;k]7X9Xn[KKhW(GC)U=a]?M8_QQbY`Jj`8cM0|0bJ4C=4iTgFgaZ3TOn^o2K?51bkJA)go_m8KEo*LMF:Dk.mmf

    ↬ L'énoncé d'un exercice peut vous imposer des contraintes sur x. C'est le cas avec les exercices types géométrique et économique du chapitre polynôme du second degré.

    img

    Polynôme du Second Degré

    ↬ Penser à mettre les « 0 » dans le tableau de signe, sauf pour les valeurs interdites où il faut mettre une double barre.

    ↬ Attention aux contraintes sur x, notamment dans les exercices types économie ("la production est limitée à 50 pièces") ou géométrie. Surtout lorsque vous faites des tableaux de signe ou de variation.

    ↬ Ne pas considérer que l’inconnue sera toujours noté x. Vous pouvez tomber sur une équation de la forme aq² + bq + c, vous devrez alors calculer les racines q1 et q2

    ↬ Simplifier les racines x1 et x2 , par exemple, 4 + 12 2 MMF.7h^C3`00QEMOLn963?l4n*hlVQV7FNdONmdg*WdYdf0bh(_ePAOgjZI(4kPjY;e[9]nmdWY]bia=*a;dTkAJoKAJHGK;k(=j|i[WbgEfmGJeFfcBNKkN1:_Rm(NZN=aoW]bGeL_aD3a=?^d?Tko]C([YeBiOiWMYT?keFYcfal(eX)XQgF`aB632BAA)16YnW)MY02:LB8eo0U0=mPOjEFQ=OkVoVbncH7[eO[GKYWVnc6hYPndfVjoBh)=;FDffiNVd?cbRml|Y4)5Z]BP?YmOZFeKnDfn1JQQFbc)e[=FZDjnOO[^]b_;?eZJ7K3jL)*|7]CXJgS`)loecnC91gFAcO2h)[LF6Rn=[]DM^g3lImHLaeR)dHH*gG28)UiS327DHh*kSi66H?HcCUnOdoNIbk=A7j(];m)DUnW:4_QbQ;lOYbf7jLYbn6SUm=D9OWM=gnWoaj|P*I2e32:7aN]B6b]Bb*QVd1aY1k9d(6J*gA6C`L|`RFG::?4P*F2mS0d=H[ohBT2aZTM80;d_V*VVHVJd1Y*7NH=ZM_kP|6Wf(g(A(NF*MTWim`SIaRIP60(]4DWFlC=][iH6[`|a71TZPTB(NV)X0ZT5DRJP1BBli:CQYUX:T2R*=D8bMi2F*QRgQ:LRhbdgJoYjl1XXWX80EA;TcJ81Z3a21iZMSN|5Ee)f[HTILFAhkHD3c53BUH7d0;AUE[KRKiZ1)*CN)U(9eJoCMd?B?IDAd`XPH`E^;Yf4X3KoNl:(`V_ZTJ*OS[TG3bTBl1`aU8Ke|VIadWAH99[=FR6AGdXPG8G;K=l1dDJ)8AJ93D4dNTGF(6iAd^lCl(|Bl4F:fOdcknl|*JeOIf2?3Ua3iI|nH]F9(nf|_^ckd:E_JG_UHUVm_jci|T)8VgXRfkX86AAdeB`UL]o?0(T_BYIH89[?b9i;]V:R^|XUVkIdHMS19a9O4[6(Bbd72KQP8dI|]0_Y*mPJGHY=7J0i(Md0PNT=9a3eTNKU0|4H443eKKcB26db]BKWB]|KjF[K*l8DA1g6X)d15^Fi3mZ[R1VAkn^16Y6b0i(3MS0K`T[PI:E_4c`KLV;*]HZd1TUd)D?acbXg9M|20H_L3L52:c]7eIi)QWiBVMNfMSQ^FKB7M])a*Fi;KnCenI8[*YAdZO:mA_BMI`J6n5EoNj[[8fOTkN:_2EMK[[Om_gN*SZlJ8bU|LBhNE]aZWnNkU[I7;HRb[^;G6cQ[g[?KRf^Ab=OjWF417(YSeI[g)0c73nbAV4Oh12MQTZ7:O2lnoWggmZ7D`X9?O?dcF1SGP??3TFA_XZG=NEDO_A`nK=o]3DGf[LH`h:an;DeUSRgQC?[U_HkDV*Le3DNf;Gim:jK(U2^WY|dNDO?[eE1DNBkKRPmNY0IdNd9TcGO643)Pa0VndMKohbN`1b|;93RUZZJ;Z^F]B^k(QQOJNVX:Pln9^PhNA7J]Wo5:JUem?_So[5lb4jo35nVimkXNWjGh615b6RfinM|5AfWiL1EBfIIH756kkdo[CcGbKT_6MXVMiV^GdOOGVKIL7dOB=Q0DnoTgO_AA?Me]l:[9C]0?=4nnB0;XlH:1gNY(:gc7TOh?Le2P.mmf = 4 + 3*4 2 MMF.7h^C3`00QEMOLn963?l4n*hlVQV7FNdONmdg*WdYdf0bh(_ePAOgjZI(4kPjY;e[9]nmdWY]bia=*a;dTkAJoKAJHGK;k(=j|i[WbgEfmGJeFfcBNKkN1:_Rm(NZN=aoW]bGeL_aD3a=?^d?Tko]C([YeBiOiWMYT?keFYcfal(eX)XQgF`aB632BAA)16YnW)MY02:LB8eo0U0=mPOjEFQ=OkVoVbncH7[eO[GKYWVnc6hYPndfVjoBh)=;FDffiNVd?cbRml|Y4)5Z]BP?YmOZFeKnDfn1JQQFbc)e[=FZDjnOO[^]b_;?eZJ7K3jL)*|7]CXJgS`)loecnC91gFAcO2h)[LF6Rn=[]DM^g3lImHLaeR)dHH*gG28)UiS327DHh*kSi66H?HcCUnOdoNIbk=A7j(];m)DUnW:4_QbQ;lOYbf7jLYbn6SUm=D9OWM=gnWoaj|P*I2e32:7aN]B6b]Bb*QVd1aY1k9d(6J*gA6C`L|`RFG::?4P*F2mS0d=H[ohBT2aZTM80;d_V*VVHVJd1Y*7NH=ZM_kP|6Wf(g(A(NF*MTWim`SIaRIP60(]4DWFlC=][iH6[`|a71TZPTB(NV)X0ZT5DRJP1BBli:CQYUX:T2R*=D8bMi2F*QRgQ:LRhbdgJoYjl1XXWX80EA;TcJ81Z3a21iZMSN|5Ee)f[HTILFAhkHD3c53BUH7d0;AUE[KRKiZ1)*CN)U(9eJoCMd?B?IDAd`XPH`E^;Yf4X3KoNl:(`V_ZTJ*OS[TG3bTBl1`aU8Ke|VIadWAH99[=FR6AGdXPG8G;K=l1dDJ)8AJ93D4dNTGF(6iAd^lCl(|Bl4F:fOdcknl|*JeOIf2?3Ua3iI|nH]F9(nf|_^ckd:E_JG_UHUVm_jci|T)8VgXRfkX86AAdeB`UL]o?0(T_BYIH89[?b9i;]V:R^|XUVkIdHMS19a9O4[6(Bbd72KQP8dI|]0_Y*mPJGHY=7J0i(Md0PNT=9a3eTNKU0|4H443eKKcB26db]BKWB]|KjF[K*l8DA1g6X)d15^Fi3mZ[R1VAkn^16Y6b0i(3MS0K`T[PI:E_4c`KLV;*]HZd1TUd)D?acbXg9M|20H_L3L52:c]7eIi)QWiBVMNfMSQ^FKB7M])a*Fi;KnCenI8[*YAdZO:mA_BMI`J6n5EoNj[[8fOTkN:_2EMK[[Om_gN*SZlJ8bU|LBhNE]aZWnNkU[I7;HRb[^;G6cQ[g[?KRf^Ab=OjWF417(YSeI[g)0c73nbAV4Oh12MQTZ7:O2lnoWggmZ7D`X9?O?dcF1SGP??3TFA_XZG=NEDO_A`nK=o]3DGf[LH`h:an;DeUSRgQC?[U_HkDV*Le3DNf;Gim:jK(U2^WY|dNDO?[eE1DNBkKRPmNY0IdNd9TcGO643)Pa0VndMKohbN`1b|;93RUZZJ;Z^F]B^k(QQOJNVX:Pln9^PhNA7J]Wo5:JUem?_So[5lb4jo35nVimkXNWjGh615b6RfinM|5AfWiL1EBfIIH756kkdo[CcGbKT_6MXVMiV^GdOOGVKIL7dOB=Q0DnoTgO_AA?Me]l:[9C]0?=4nnB0;XlH:1gNY(:gc7TOh?Le2P.mmf = 4 + 2 3 2 MMF.7h^C3`00QEMOLn963?l4n*hlVQV7FNdONmdg*WdYdf0bh(_ePAOgjZI(4kPjY;e[9]nmdWY]bia=*a;dTkAJoKAJHGK;k(=j|i[WbgEfmGJeFfcBNKkN1:_Rm(NZN=aoW]bGeL_aD3a=?^d?Tko]C([YeBiOiWMYT?keFYcfal(eX)XQgF`aB632BAA)16YnW)MY02:LB8eo0U0=mPOjEFQ=OkVoVbncH7[eO[GKYWVnc6hYPndfVjoBh)=;FDffiNVd?cbRml|Y4)5Z]BP?YmOZFeKnDfn1JQQFbc)e[=FZDjnOO[^]b_;?eZJ7K3jL)*|7]CXJgS`)loecnC91gFAcO2h)[LF6Rn=[]DM^g3lImHLaeR)dHH*gG28)UiS327DHh*kSi66H?HcCUnOdoNIbk=A7j(];m)DUnW:4_QbQ;lOYbf7jLYbn6SUm=D9OWM=gnWoaj|P*I2e32:7aN]B6b]Bb*QVd1aY1k9d(6J*gA6C`L|`RFG::?4P*F2mS0d=H[ohBT2aZTM80;d_V*VVHVJd1Y*7NH=ZM_kP|6Wf(g(A(NF*MTWim`SIaRIP60(]4DWFlC=][iH6[`|a71TZPTB(NV)X0ZT5DRJP1BBli:CQYUX:T2R*=D8bMi2F*QRgQ:LRhbdgJoYjl1XXWX80EA;TcJ81Z3a21iZMSN|5Ee)f[HTILFAhkHD3c53BUH7d0;AUE[KRKiZ1)*CN)U(9eJoCMd?B?IDAd`XPH`E^;Yf4X3KoNl:(`V_ZTJ*OS[TG3bTBl1`aU8Ke|VIadWAH99[=FR6AGdXPG8G;K=l1dDJ)8AJ93D4dNTGF(6iAd^lCl(|Bl4F:fOdcknl|*JeOIf2?3Ua3iI|nH]F9(nf|_^ckd:E_JG_UHUVm_jci|T)8VgXRfkX86AAdeB`UL]o?0(T_BYIH89[?b9i;]V:R^|XUVkIdHMS19a9O4[6(Bbd72KQP8dI|]0_Y*mPJGHY=7J0i(Md0PNT=9a3eTNKU0|4H443eKKcB26db]BKWB]|KjF[K*l8DA1g6X)d15^Fi3mZ[R1VAkn^16Y6b0i(3MS0K`T[PI:E_4c`KLV;*]HZd1TUd)D?acbXg9M|20H_L3L52:c]7eIi)QWiBVMNfMSQ^FKB7M])a*Fi;KnCenI8[*YAdZO:mA_BMI`J6n5EoNj[[8fOTkN:_2EMK[[Om_gN*SZlJ8bU|LBhNE]aZWnNkU[I7;HRb[^;G6cQ[g[?KRf^Ab=OjWF417(YSeI[g)0c73nbAV4Oh12MQTZ7:O2lnoWggmZ7D`X9?O?dcF1SGP??3TFA_XZG=NEDO_A`nK=o]3DGf[LH`h:an;DeUSRgQC?[U_HkDV*Le3DNf;Gim:jK(U2^WY|dNDO?[eE1DNBkKRPmNY0IdNd9TcGO643)Pa0VndMKohbN`1b|;93RUZZJ;Z^F]B^k(QQOJNVX:Pln9^PhNA7J]Wo5:JUem?_So[5lb4jo35nVimkXNWjGh615b6RfinM|5AfWiL1EBfIIH756kkdo[CcGbKT_6MXVMiV^GdOOGVKIL7dOB=Q0DnoTgO_AA?Me]l:[9C]0?=4nnB0;XlH:1gNY(:gc7TOh?Le2P.mmf = 2 + 3 MMF.7h]Z3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDh_bB8cCPbi(b[ZJfU9:bfdBSmnm`799PPZYF9J=3l1RlF6a4;EMI)mGjnD|GjbbRmN;kGbMc_;E)UPFaknFaL?^lnB^[9h?nn9alW6gWoa[Ye9NGVccAGjK1^To;lEaMmQO0J[^doD6P`*VW4CQA:3VUeVN1R32RMCh5X1Z|)o0_=(J[NW_MkNcAAILG[aMK3MYWRnb6lYP|lUVbcChl5aFTdei?)kf3nSmO0a4^5c)bogaYOZFUOoEFj0JQ]GbA2e[]N[DZlLoKZZbo;^ejB6K3fM)`T6]SXHgSl=lme*nCe0gFAnNRWe[|N7ll5;]T1_gCdKmHHce26dHh*gWR((iiS127DJh`cQi66H?hoCU:Gfo^A`kmA7jlQamNHjn7:4_AnS;LOYbV;hLYjm6CUn=d5NWm9gn)ehM6H:|I*PQ=5j?fU2IFUHXPoI08hRmTb63m8J835j)FBA;CY472*;[IFaP2)_EG`:BABeB6^1UbE`X3C)e=J0d`1](^o(GUdFSSi6KV2Z?[4?B[doH9RhAd`1PVDRZSYMYNjdlL5FHn|Q02CAba0=C7D0eR2XA=B3Y9BL59leBT5B1Y06:|I)l1=:`9C`56GNiBM_OTmM0l**D|88XM`H=D)d18]3lM4`_^8ZjOEG(R2_;HbL(J9j2YQB|3j0UXjXEMm(Le2WXaY5B^6Z=_Q^Jo[6(R4hH4B=hJo4d3:GQea]n54ICWcC]H=beJ5RIR?N0XBbTUbfCTjkC8|5TePZAk4XJlB94K_|6V2iZ5;58M0RZbB)bSW63TVjGV5n6V3M2c?J?JGmo6F;]:Q]kI?PB8]o|6K=FS6UokFGGQciUBm|[7l_bkFgMQ`eBg(*KdMIMd:2XXfHYPJ]f7UQVBK[D4|5TE_i4|QdCeEDfdJbm4l()9XWhTYQeC68iB=P=0b5j|dE07l[Nh59|lPS=PNT)24A_:8VhQb`_5`SFR02RIn^=AW23ZCDYEm[FF5o;5QZn()8P3WD7Z2QGKLQNEMb0K4lOg8RD3I0L^9_A05hB=b=URoSIP1^C]TF|=D2bb`6:Odji(MT)653|OP0)B]4i^_i|(_BCd[B^_M=a`k8]Y9^F7FY;LS)k`hm(4KZd*hGoJeC_BEI`Z6o5UkNj;W9foQnlEN4ZjoGFokE^lY5EHdCU;HjU`lYKSM?ll?;Fb6DaUUGLFV=WSG]FNgI]L[hJ?bTFd94(I[eN[O90C?4nRFV4Kb01V`aEkW?QjLnC[ane3PIdl|N7bMZP1Y`7WSa[0ceecZ[Zh?gXHO=j]bnZKcF)4FOU*g4|Jf`A[l]7mff|eRBX^BnZGO7Y|I*nFj:*7SmkA(VWGhmEhK5T:mikWA[*j*6M)M4ESlR07R?`AU_gRio(7Z0|W)b*XYHZZYjk9[Dk6e9XkjTY23[?KmMh6=VQN|8_YGWimNSk|gk1E;P)Wjm^EjMnN9[^Id30IKSXnSLG7:G=QfE0IE]TND3Q=[n^?Uk?=RTIgbQjUZMIC]mG[eng)AECG;jB?0odiM_f7_gNg]3cOeEd0IX.mmf

    ↬ Pour le cas particulier x² - 4 = 0, la méthode du discriminant fonctionne, mais vous gagnerez du temps en résolvant ainsi : x² - 4 = 0 ⇔ x² = 4 ⇔ x = 4 MMF.7h]Z3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDh_bB8cCPbi(b[ZJfU9:bfdBSmnm`799PPZYF9J=3l1RlF6a4;EMI)mGjnD|GjbbRmN;kGbMc_;E)UPFaknFaL?^lnB^[9h?nn9alW6gWoa[Ye9NGVccAGjK1^To;lEaMmQO0J[^doD6P`*VW4CQA:3VUeVN1R32RMCh5X1Z|)o0_=(J[NW_MkNcAAILG[aMK3MYWRnb6lYP|lUVbcChl5aFTdei?)kf3nSmO0a4^5c)bogaYOZFUOoEFj0JQ]GbA2e[]N[DZlLoKZZbo;^ejB6K3fM)`T6]SXHgSl=lme*nCe0gFAnNRWe[|N7ll5;]T1_gCdKmHHce26dHh*gWR((iiS127DJh`cQi66H?hoCU:Gfo^A`kmA7jlQamNHjn7:4_AnS;LOYbV;hLYjm6CUn=d5NWm9gn)ehM6H:|I*PQ=5j?fU2IFUHXPoI08hRmTb63m8J835j)FBA;CY472*;[IFaP2)_EG`:BABeB6^1UbE`X3C)e=J0d`1](^o(GUdFSSi6KV2Z?[4?B[doH9RhAd`1PVDRZSYMYNjdlL5FHn|Q02CAba0=C7D0eR2XA=B3Y9BL59leBT5B1Y06:|I)l1=:`9C`56GNiBM_OTmM0l**D|88XM`H=D)d18]3lM4`_^8ZjOEG(R2_;HbL(J9j2YQB|3j0UXjXEMm(Le2WXaY5B^6Z=_Q^Jo[6(R4hH4B=hJo4d3:GQea]n54ICWcC]H=beJ5RIR?N0XBbTUbfCTjkC8|5TePZAk4XJlB94K_|6V2iZ5;58M0RZbB)bSW63TVjGV5n6V3M2c?J?JGmo6F;]:Q]kI?PB8]o|6K=FS6UokFGGQciUBm|[7l_bkFgMQ`eBg(*KdMIMd:2XXfHYPJ]f7UQVBK[D4|5TE_i4|QdCeEDfdJbm4l()9XWhTYQeC68iB=P=0b5j|dE07l[Nh59|lPS=PNT)24A_:8VhQb`_5`SFR02RIn^=AW23ZCDYEm[FF5o;5QZn()8P3WD7Z2QGKLQNEMb0K4lOg8RD3I0L^9_A05hB=b=URoSIP1^C]TF|=D2bb`6:Odji(MT)653|OP0)B]4i^_i|(_BCd[B^_M=a`k8]Y9^F7FY;LS)k`hm(4KZd*hGoJeC_BEI`Z6o5UkNj;W9foQnlEN4ZjoGFokE^lY5EHdCU;HjU`lYKSM?ll?;Fb6DaUUGLFV=WSG]FNgI]L[hJ?bTFd94(I[eN[O90C?4nRFV4Kb01V`aEkW?QjLnC[ane3PIdl|N7bMZP1Y`7WSa[0ceecZ[Zh?gXHO=j]bnZKcF)4FOU*g4|Jf`A[l]7mff|eRBX^BnZGO7Y|I*nFj:*7SmkA(VWGhmEhK5T:mikWA[*j*6M)M4ESlR07R?`AU_gRio(7Z0|W)b*XYHZZYjk9[Dk6e9XkjTY23[?KmMh6=VQN|8_YGWimNSk|gk1E;P)Wjm^EjMnN9[^Id30IKSXnSLG7:G=QfE0IE]TND3Q=[n^?Uk?=RTIgbQjUZMIC]mG[eng)AECG;jB?0odiM_f7_gNg]3cOeEd0IX.mmf ou x = - 4 MMF.7h]Z3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDh_bB8cCPbi(b[ZJfU9:bfdBSmnm`799PPZYF9J=3l1RlF6a4;EMI)mGjnD|GjbbRmN;kGbMc_;E)UPFaknFaL?^lnB^[9h?nn9alW6gWoa[Ye9NGVccAGjK1^To;lEaMmQO0J[^doD6P`*VW4CQA:3VUeVN1R32RMCh5X1Z|)o0_=(J[NW_MkNcAAILG[aMK3MYWRnb6lYP|lUVbcChl5aFTdei?)kf3nSmO0a4^5c)bogaYOZFUOoEFj0JQ]GbA2e[]N[DZlLoKZZbo;^ejB6K3fM)`T6]SXHgSl=lme*nCe0gFAnNRWe[|N7ll5;]T1_gCdKmHHce26dHh*gWR((iiS127DJh`cQi66H?hoCU:Gfo^A`kmA7jlQamNHjn7:4_AnS;LOYbV;hLYjm6CUn=d5NWm9gn)ehM6H:|I*PQ=5j?fU2IFUHXPoI08hRmTb63m8J835j)FBA;CY472*;[IFaP2)_EG`:BABeB6^1UbE`X3C)e=J0d`1](^o(GUdFSSi6KV2Z?[4?B[doH9RhAd`1PVDRZSYMYNjdlL5FHn|Q02CAba0=C7D0eR2XA=B3Y9BL59leBT5B1Y06:|I)l1=:`9C`56GNiBM_OTmM0l**D|88XM`H=D)d18]3lM4`_^8ZjOEG(R2_;HbL(J9j2YQB|3j0UXjXEMm(Le2WXaY5B^6Z=_Q^Jo[6(R4hH4B=hJo4d3:GQea]n54ICWcC]H=beJ5RIR?N0XBbTUbfCTjkC8|5TePZAk4XJlB94K_|6V2iZ5;58M0RZbB)bSW63TVjGV5n6V3M2c?J?JGmo6F;]:Q]kI?PB8]o|6K=FS6UokFGGQciUBm|[7l_bkFgMQ`eBg(*KdMIMd:2XXfHYPJ]f7UQVBK[D4|5TE_i4|QdCeEDfdJbm4l()9XWhTYQeC68iB=P=0b5j|dE07l[Nh59|lPS=PNT)24A_:8VhQb`_5`SFR02RIn^=AW23ZCDYEm[FF5o;5QZn()8P3WD7Z2QGKLQNEMb0K4lOg8RD3I0L^9_A05hB=b=URoSIP1^C]TF|=D2bb`6:Odji(MT)653|OP0)B]4i^_i|(_BCd[B^_M=a`k8]Y9^F7FY;LS)k`hm(4KZd*hGoJeC_BEI`Z6o5UkNj;W9foQnlEN4ZjoGFokE^lY5EHdCU;HjU`lYKSM?ll?;Fb6DaUUGLFV=WSG]FNgI]L[hJ?bTFd94(I[eN[O90C?4nRFV4Kb01V`aEkW?QjLnC[ane3PIdl|N7bMZP1Y`7WSa[0ceecZ[Zh?gXHO=j]bnZKcF)4FOU*g4|Jf`A[l]7mff|eRBX^BnZGO7Y|I*nFj:*7SmkA(VWGhmEhK5T:mikWA[*j*6M)M4ESlR07R?`AU_gRio(7Z0|W)b*XYHZZYjk9[Dk6e9XkjTY23[?KmMh6=VQN|8_YGWimNSk|gk1E;P)Wjm^EjMnN9[^Id30IKSXnSLG7:G=QfE0IE]TND3Q=[n^?Uk?=RTIgbQjUZMIC]mG[eng)AECG;jB?0odiM_f7_gNg]3cOeEd0IX.mmf ⇔ x = 2 ou x = -2

    ↬ Pour faire un tableau de signe : "Le polynôme du 2nd degré est du signe de a sauf entre ses racines"

    ↬ Parfois les racines x1 et x2 ont une forme complexe : 17 + 91 18 MMF.7h^C3`00QEMOLn963?l4n*hlVQV7FNdONmdg*WdYdf0bh(_ePAOgjZI(4kPjY;e[9]nmdWY]bia=*a;dTkAJoKAJHGK;k(=j|i[WbgEfmGJeFfcBNKkN1:_Rm(NZN=aoW]bGeL_aD3a=?^d?Tko]C([YeBiOiWMYT?keFYcfal(eX)XQgF`aB632BAA)16YnW)MY02:LB8eo0U0=mPOjEFQ=OkVoVbncH7[eO[GKYWVnc6hYPndfVjoBh)=;FDffiNVd?cbRml|Y4)5Z]BP?YmOZFeKnDfn1JQQFbc)e[=FZDjnOO[^]b_;?eZJ7K3jL)*|7]CXJgS`)loecnC91gFAcO2h)[LF6Rn=[]DM^g3lImHLaeR)dHH*gG28)UiS327DHh*kSi66H?HcCUnOdoNIbk=A7j(];m)DUnW:4_QbQ;lOYbf7jLYbn6SUm=D9OWM=gnWoaj|P*I2e32:7aN]B6b]Bb*QVd1aY1k9d(6J*gA6C`L|`RFG::?4P*F2mS0d=H[ohBT2aZTM80;d_V*VVHVJd1Y*7NH=ZM_kP|6Wf(g(A(NF*MTWim`SIaRIP60(]4DWFlC=][iH6[`|a71TZPTB(NV)X0ZT5DRJP1BBli:CQYUX:T2R*=D8bMi2F*QRgQ:LRhbdgJoYjl1XXWX80EA;TcJ81Z3a21iZMSN|5Ee)f[HTILFAhkHD3c53BUH7d0;AUE[KRKiZ1)*CN)U(9eJoCMd?B?IDAd`XPH`E^;Yf4X3KoNl:(`V_ZTJ*OS[TG3bTBl1`aU8Ke|VIadWAH99[=FR6AGdXPG8G;K=l1dDJ)8AJ93D4dNTGF(6iAd^lCl(|Bl4F:fOdcknl|*JeOIf2?3Ua3iI|nH]F9(nf|_^ckd:E_JG_UHUVm_jci|T)8VgXRfkX86AAdeB`UL]o?0(T_BYIH89[?b9i;]V:R^|XUVkIdHMS19a9O4[6(Bbd72KQP8dI|]0_Y*mPJGHY=7J0i(Md0PNT=9a3eTNKU0|4H443eKKcB26db]BKWB]|KjF[K*l8DA1g6X)d15^Fi3mZ[R1VAkn^16Y6b0i(3MS0K`T[PI:E_4c`KLV;*]HZd1TUd)D?acbXg9M|20H_L3L52:c]7eIi)QWiBVMNfMSQ^FKB7M])a*Fi;KnCenI8[*YAdZO:mA_BMI`J6n5EoNj[[8fOTkN:_2EMK[[Om_gN*SZlJ8bU|LBhNE]aZWnNkU[I7;HRb[^;G6cQ[g[?KRf^Ab=OjWF417(YSeI[g)0c73nbAV4Oh12MQTZ7:O2lnoWggmZ7D`X9?O?dcF1SGP??3TFA_XZG=NEDO_A`nK=o]3DGf[LH`h:an;DeUSRgQC?[U_HkDV*Le3DNf;Gim:jK(U2^WY|dNDO?[eE1DNBkKRPmNY0IdNd9TcGO643)Pa0VndMKohbN`1b|;93RUZZJ;Z^F]B^k(QQOJNVX:Pln9^PhNA7J]Wo5:JUem?_So[5lb4jo35nVimkXNWjGh615b6RfinM|5AfWiL1EBfIIH756kkdo[CcGbKT_6MXVMiV^GdOOGVKIL7dOB=Q0DnoTgO_AA?Me]l:[9C]0?=4nnB0;XlH:1gNY(:gc7TOh?Le2P.mmf et 17 - 91 18 MMF.7h^C3`00QEMOLn963?l4n*hlVQV7FNdONmdg*WdYdf0bh(_ePAOgjZI(4kPjY;e[9]nmdWY]bia=*a;dTkAJoKAJHGK;k(=j|i[WbgEfmGJeFfcBNKkN1:_Rm(NZN=aoW]bGeL_aD3a=?^d?Tko]C([YeBiOiWMYT?keFYcfal(eX)XQgF`aB632BAA)16YnW)MY02:LB8eo0U0=mPOjEFQ=OkVoVbncH7[eO[GKYWVnc6hYPndfVjoBh)=;FDffiNVd?cbRml|Y4)5Z]BP?YmOZFeKnDfn1JQQFbc)e[=FZDjnOO[^]b_;?eZJ7K3jL)*|7]CXJgS`)loecnC91gFAcO2h)[LF6Rn=[]DM^g3lImHLaeR)dHH*gG28)UiS327DHh*kSi66H?HcCUnOdoNIbk=A7j(];m)DUnW:4_QbQ;lOYbf7jLYbn6SUm=D9OWM=gnWoaj|P*I2e32:7aN]B6b]Bb*QVd1aY1k9d(6J*gA6C`L|`RFG::?4P*F2mS0d=H[ohBT2aZTM80;d_V*VVHVJd1Y*7NH=ZM_kP|6Wf(g(A(NF*MTWim`SIaRIP60(]4DWFlC=][iH6[`|a71TZPTB(NV)X0ZT5DRJP1BBli:CQYUX:T2R*=D8bMi2F*QRgQ:LRhbdgJoYjl1XXWX80EA;TcJ81Z3a21iZMSN|5Ee)f[HTILFAhkHD3c53BUH7d0;AUE[KRKiZ1)*CN)U(9eJoCMd?B?IDAd`XPH`E^;Yf4X3KoNl:(`V_ZTJ*OS[TG3bTBl1`aU8Ke|VIadWAH99[=FR6AGdXPG8G;K=l1dDJ)8AJ93D4dNTGF(6iAd^lCl(|Bl4F:fOdcknl|*JeOIf2?3Ua3iI|nH]F9(nf|_^ckd:E_JG_UHUVm_jci|T)8VgXRfkX86AAdeB`UL]o?0(T_BYIH89[?b9i;]V:R^|XUVkIdHMS19a9O4[6(Bbd72KQP8dI|]0_Y*mPJGHY=7J0i(Md0PNT=9a3eTNKU0|4H443eKKcB26db]BKWB]|KjF[K*l8DA1g6X)d15^Fi3mZ[R1VAkn^16Y6b0i(3MS0K`T[PI:E_4c`KLV;*]HZd1TUd)D?acbXg9M|20H_L3L52:c]7eIi)QWiBVMNfMSQ^FKB7M])a*Fi;KnCenI8[*YAdZO:mA_BMI`J6n5EoNj[[8fOTkN:_2EMK[[Om_gN*SZlJ8bU|LBhNE]aZWnNkU[I7;HRb[^;G6cQ[g[?KRf^Ab=OjWF417(YSeI[g)0c73nbAV4Oh12MQTZ7:O2lnoWggmZ7D`X9?O?dcF1SGP??3TFA_XZG=NEDO_A`nK=o]3DGf[LH`h:an;DeUSRgQC?[U_HkDV*Le3DNf;Gim:jK(U2^WY|dNDO?[eE1DNBkKRPmNY0IdNd9TcGO643)Pa0VndMKohbN`1b|;93RUZZJ;Z^F]B^k(QQOJNVX:Pln9^PhNA7J]Wo5:JUem?_So[5lb4jo35nVimkXNWjGh615b6RfinM|5AfWiL1EBfIIH756kkdo[CcGbKT_6MXVMiV^GdOOGVKIL7dOB=Q0DnoTgO_AA?Me]l:[9C]0?=4nnB0;XlH:1gNY(:gc7TOh?Le2P.mmf par exemple. Ne prenez pas peur ! Procédez juste à une étape de vérification en montrant que x1*x2 vaut bien c a MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf .

    img

    Fonction Affine

    ↬ Une fonction affine est du signe de son coefficient directeur a, à droite de sa racine

    ↬ La racine correspond à la solution de l'équation ax + b = 0

    ↬ Si l'ordonnée à l'origine b = 0, alors nous avons à faire à une fonction linéaire

    ↬ Si a = -3 4 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf , alors la droite sera décroissante et vous vous déplacerez de 3 unités vers le bas, puis de 4 unités vers la droite

    ↬ Pour a = - 3, idem sauf que vous vous déplacerez de 1 unité vers la droite car - 3 = -3 1 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf

    img

    Polynôme du Second Degré

    ↬ Penser à mettre les « 0 » dans le tableau de signe, sauf pour les valeurs interdites où il faut mettre une double barre.

    ↬ Attention aux contraintes sur x, notamment dans les exercices types économie ("la production est limitée à 50 pièces") ou géométrie. Surtout lorsque vous faites des tableaux de signe ou de variation.

    ↬ Ne pas considérer que l’inconnue sera toujours noté x. Vous pouvez tomber sur une équation de la forme aq² + bq + c, vous devrez alors calculer les racines q1 et q2

    ↬ Simplifier les racines x1 et x2 , par exemple, 4 + 12 2 MMF.7h^C3`00QEMOLn963?l4n*hlVQV7FNdONmdg*WdYdf0bh(_ePAOgjZI(4kPjY;e[9]nmdWY]bia=*a;dTkAJoKAJHGK;k(=j|i[WbgEfmGJeFfcBNKkN1:_Rm(NZN=aoW]bGeL_aD3a=?^d?Tko]C([YeBiOiWMYT?keFYcfal(eX)XQgF`aB632BAA)16YnW)MY02:LB8eo0U0=mPOjEFQ=OkVoVbncH7[eO[GKYWVnc6hYPndfVjoBh)=;FDffiNVd?cbRml|Y4)5Z]BP?YmOZFeKnDfn1JQQFbc)e[=FZDjnOO[^]b_;?eZJ7K3jL)*|7]CXJgS`)loecnC91gFAcO2h)[LF6Rn=[]DM^g3lImHLaeR)dHH*gG28)UiS327DHh*kSi66H?HcCUnOdoNIbk=A7j(];m)DUnW:4_QbQ;lOYbf7jLYbn6SUm=D9OWM=gnWoaj|P*I2e32:7aN]B6b]Bb*QVd1aY1k9d(6J*gA6C`L|`RFG::?4P*F2mS0d=H[ohBT2aZTM80;d_V*VVHVJd1Y*7NH=ZM_kP|6Wf(g(A(NF*MTWim`SIaRIP60(]4DWFlC=][iH6[`|a71TZPTB(NV)X0ZT5DRJP1BBli:CQYUX:T2R*=D8bMi2F*QRgQ:LRhbdgJoYjl1XXWX80EA;TcJ81Z3a21iZMSN|5Ee)f[HTILFAhkHD3c53BUH7d0;AUE[KRKiZ1)*CN)U(9eJoCMd?B?IDAd`XPH`E^;Yf4X3KoNl:(`V_ZTJ*OS[TG3bTBl1`aU8Ke|VIadWAH99[=FR6AGdXPG8G;K=l1dDJ)8AJ93D4dNTGF(6iAd^lCl(|Bl4F:fOdcknl|*JeOIf2?3Ua3iI|nH]F9(nf|_^ckd:E_JG_UHUVm_jci|T)8VgXRfkX86AAdeB`UL]o?0(T_BYIH89[?b9i;]V:R^|XUVkIdHMS19a9O4[6(Bbd72KQP8dI|]0_Y*mPJGHY=7J0i(Md0PNT=9a3eTNKU0|4H443eKKcB26db]BKWB]|KjF[K*l8DA1g6X)d15^Fi3mZ[R1VAkn^16Y6b0i(3MS0K`T[PI:E_4c`KLV;*]HZd1TUd)D?acbXg9M|20H_L3L52:c]7eIi)QWiBVMNfMSQ^FKB7M])a*Fi;KnCenI8[*YAdZO:mA_BMI`J6n5EoNj[[8fOTkN:_2EMK[[Om_gN*SZlJ8bU|LBhNE]aZWnNkU[I7;HRb[^;G6cQ[g[?KRf^Ab=OjWF417(YSeI[g)0c73nbAV4Oh12MQTZ7:O2lnoWggmZ7D`X9?O?dcF1SGP??3TFA_XZG=NEDO_A`nK=o]3DGf[LH`h:an;DeUSRgQC?[U_HkDV*Le3DNf;Gim:jK(U2^WY|dNDO?[eE1DNBkKRPmNY0IdNd9TcGO643)Pa0VndMKohbN`1b|;93RUZZJ;Z^F]B^k(QQOJNVX:Pln9^PhNA7J]Wo5:JUem?_So[5lb4jo35nVimkXNWjGh615b6RfinM|5AfWiL1EBfIIH756kkdo[CcGbKT_6MXVMiV^GdOOGVKIL7dOB=Q0DnoTgO_AA?Me]l:[9C]0?=4nnB0;XlH:1gNY(:gc7TOh?Le2P.mmf = 4 + 3*4 2 MMF.7h^C3`00QEMOLn963?l4n*hlVQV7FNdONmdg*WdYdf0bh(_ePAOgjZI(4kPjY;e[9]nmdWY]bia=*a;dTkAJoKAJHGK;k(=j|i[WbgEfmGJeFfcBNKkN1:_Rm(NZN=aoW]bGeL_aD3a=?^d?Tko]C([YeBiOiWMYT?keFYcfal(eX)XQgF`aB632BAA)16YnW)MY02:LB8eo0U0=mPOjEFQ=OkVoVbncH7[eO[GKYWVnc6hYPndfVjoBh)=;FDffiNVd?cbRml|Y4)5Z]BP?YmOZFeKnDfn1JQQFbc)e[=FZDjnOO[^]b_;?eZJ7K3jL)*|7]CXJgS`)loecnC91gFAcO2h)[LF6Rn=[]DM^g3lImHLaeR)dHH*gG28)UiS327DHh*kSi66H?HcCUnOdoNIbk=A7j(];m)DUnW:4_QbQ;lOYbf7jLYbn6SUm=D9OWM=gnWoaj|P*I2e32:7aN]B6b]Bb*QVd1aY1k9d(6J*gA6C`L|`RFG::?4P*F2mS0d=H[ohBT2aZTM80;d_V*VVHVJd1Y*7NH=ZM_kP|6Wf(g(A(NF*MTWim`SIaRIP60(]4DWFlC=][iH6[`|a71TZPTB(NV)X0ZT5DRJP1BBli:CQYUX:T2R*=D8bMi2F*QRgQ:LRhbdgJoYjl1XXWX80EA;TcJ81Z3a21iZMSN|5Ee)f[HTILFAhkHD3c53BUH7d0;AUE[KRKiZ1)*CN)U(9eJoCMd?B?IDAd`XPH`E^;Yf4X3KoNl:(`V_ZTJ*OS[TG3bTBl1`aU8Ke|VIadWAH99[=FR6AGdXPG8G;K=l1dDJ)8AJ93D4dNTGF(6iAd^lCl(|Bl4F:fOdcknl|*JeOIf2?3Ua3iI|nH]F9(nf|_^ckd:E_JG_UHUVm_jci|T)8VgXRfkX86AAdeB`UL]o?0(T_BYIH89[?b9i;]V:R^|XUVkIdHMS19a9O4[6(Bbd72KQP8dI|]0_Y*mPJGHY=7J0i(Md0PNT=9a3eTNKU0|4H443eKKcB26db]BKWB]|KjF[K*l8DA1g6X)d15^Fi3mZ[R1VAkn^16Y6b0i(3MS0K`T[PI:E_4c`KLV;*]HZd1TUd)D?acbXg9M|20H_L3L52:c]7eIi)QWiBVMNfMSQ^FKB7M])a*Fi;KnCenI8[*YAdZO:mA_BMI`J6n5EoNj[[8fOTkN:_2EMK[[Om_gN*SZlJ8bU|LBhNE]aZWnNkU[I7;HRb[^;G6cQ[g[?KRf^Ab=OjWF417(YSeI[g)0c73nbAV4Oh12MQTZ7:O2lnoWggmZ7D`X9?O?dcF1SGP??3TFA_XZG=NEDO_A`nK=o]3DGf[LH`h:an;DeUSRgQC?[U_HkDV*Le3DNf;Gim:jK(U2^WY|dNDO?[eE1DNBkKRPmNY0IdNd9TcGO643)Pa0VndMKohbN`1b|;93RUZZJ;Z^F]B^k(QQOJNVX:Pln9^PhNA7J]Wo5:JUem?_So[5lb4jo35nVimkXNWjGh615b6RfinM|5AfWiL1EBfIIH756kkdo[CcGbKT_6MXVMiV^GdOOGVKIL7dOB=Q0DnoTgO_AA?Me]l:[9C]0?=4nnB0;XlH:1gNY(:gc7TOh?Le2P.mmf = 4 + 2 3 2 MMF.7h^C3`00QEMOLn963?l4n*hlVQV7FNdONmdg*WdYdf0bh(_ePAOgjZI(4kPjY;e[9]nmdWY]bia=*a;dTkAJoKAJHGK;k(=j|i[WbgEfmGJeFfcBNKkN1:_Rm(NZN=aoW]bGeL_aD3a=?^d?Tko]C([YeBiOiWMYT?keFYcfal(eX)XQgF`aB632BAA)16YnW)MY02:LB8eo0U0=mPOjEFQ=OkVoVbncH7[eO[GKYWVnc6hYPndfVjoBh)=;FDffiNVd?cbRml|Y4)5Z]BP?YmOZFeKnDfn1JQQFbc)e[=FZDjnOO[^]b_;?eZJ7K3jL)*|7]CXJgS`)loecnC91gFAcO2h)[LF6Rn=[]DM^g3lImHLaeR)dHH*gG28)UiS327DHh*kSi66H?HcCUnOdoNIbk=A7j(];m)DUnW:4_QbQ;lOYbf7jLYbn6SUm=D9OWM=gnWoaj|P*I2e32:7aN]B6b]Bb*QVd1aY1k9d(6J*gA6C`L|`RFG::?4P*F2mS0d=H[ohBT2aZTM80;d_V*VVHVJd1Y*7NH=ZM_kP|6Wf(g(A(NF*MTWim`SIaRIP60(]4DWFlC=][iH6[`|a71TZPTB(NV)X0ZT5DRJP1BBli:CQYUX:T2R*=D8bMi2F*QRgQ:LRhbdgJoYjl1XXWX80EA;TcJ81Z3a21iZMSN|5Ee)f[HTILFAhkHD3c53BUH7d0;AUE[KRKiZ1)*CN)U(9eJoCMd?B?IDAd`XPH`E^;Yf4X3KoNl:(`V_ZTJ*OS[TG3bTBl1`aU8Ke|VIadWAH99[=FR6AGdXPG8G;K=l1dDJ)8AJ93D4dNTGF(6iAd^lCl(|Bl4F:fOdcknl|*JeOIf2?3Ua3iI|nH]F9(nf|_^ckd:E_JG_UHUVm_jci|T)8VgXRfkX86AAdeB`UL]o?0(T_BYIH89[?b9i;]V:R^|XUVkIdHMS19a9O4[6(Bbd72KQP8dI|]0_Y*mPJGHY=7J0i(Md0PNT=9a3eTNKU0|4H443eKKcB26db]BKWB]|KjF[K*l8DA1g6X)d15^Fi3mZ[R1VAkn^16Y6b0i(3MS0K`T[PI:E_4c`KLV;*]HZd1TUd)D?acbXg9M|20H_L3L52:c]7eIi)QWiBVMNfMSQ^FKB7M])a*Fi;KnCenI8[*YAdZO:mA_BMI`J6n5EoNj[[8fOTkN:_2EMK[[Om_gN*SZlJ8bU|LBhNE]aZWnNkU[I7;HRb[^;G6cQ[g[?KRf^Ab=OjWF417(YSeI[g)0c73nbAV4Oh12MQTZ7:O2lnoWggmZ7D`X9?O?dcF1SGP??3TFA_XZG=NEDO_A`nK=o]3DGf[LH`h:an;DeUSRgQC?[U_HkDV*Le3DNf;Gim:jK(U2^WY|dNDO?[eE1DNBkKRPmNY0IdNd9TcGO643)Pa0VndMKohbN`1b|;93RUZZJ;Z^F]B^k(QQOJNVX:Pln9^PhNA7J]Wo5:JUem?_So[5lb4jo35nVimkXNWjGh615b6RfinM|5AfWiL1EBfIIH756kkdo[CcGbKT_6MXVMiV^GdOOGVKIL7dOB=Q0DnoTgO_AA?Me]l:[9C]0?=4nnB0;XlH:1gNY(:gc7TOh?Le2P.mmf = 2 + 3 MMF.7h]Z3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDh_bB8cCPbi(b[ZJfU9:bfdBSmnm`799PPZYF9J=3l1RlF6a4;EMI)mGjnD|GjbbRmN;kGbMc_;E)UPFaknFaL?^lnB^[9h?nn9alW6gWoa[Ye9NGVccAGjK1^To;lEaMmQO0J[^doD6P`*VW4CQA:3VUeVN1R32RMCh5X1Z|)o0_=(J[NW_MkNcAAILG[aMK3MYWRnb6lYP|lUVbcChl5aFTdei?)kf3nSmO0a4^5c)bogaYOZFUOoEFj0JQ]GbA2e[]N[DZlLoKZZbo;^ejB6K3fM)`T6]SXHgSl=lme*nCe0gFAnNRWe[|N7ll5;]T1_gCdKmHHce26dHh*gWR((iiS127DJh`cQi66H?hoCU:Gfo^A`kmA7jlQamNHjn7:4_AnS;LOYbV;hLYjm6CUn=d5NWm9gn)ehM6H:|I*PQ=5j?fU2IFUHXPoI08hRmTb63m8J835j)FBA;CY472*;[IFaP2)_EG`:BABeB6^1UbE`X3C)e=J0d`1](^o(GUdFSSi6KV2Z?[4?B[doH9RhAd`1PVDRZSYMYNjdlL5FHn|Q02CAba0=C7D0eR2XA=B3Y9BL59leBT5B1Y06:|I)l1=:`9C`56GNiBM_OTmM0l**D|88XM`H=D)d18]3lM4`_^8ZjOEG(R2_;HbL(J9j2YQB|3j0UXjXEMm(Le2WXaY5B^6Z=_Q^Jo[6(R4hH4B=hJo4d3:GQea]n54ICWcC]H=beJ5RIR?N0XBbTUbfCTjkC8|5TePZAk4XJlB94K_|6V2iZ5;58M0RZbB)bSW63TVjGV5n6V3M2c?J?JGmo6F;]:Q]kI?PB8]o|6K=FS6UokFGGQciUBm|[7l_bkFgMQ`eBg(*KdMIMd:2XXfHYPJ]f7UQVBK[D4|5TE_i4|QdCeEDfdJbm4l()9XWhTYQeC68iB=P=0b5j|dE07l[Nh59|lPS=PNT)24A_:8VhQb`_5`SFR02RIn^=AW23ZCDYEm[FF5o;5QZn()8P3WD7Z2QGKLQNEMb0K4lOg8RD3I0L^9_A05hB=b=URoSIP1^C]TF|=D2bb`6:Odji(MT)653|OP0)B]4i^_i|(_BCd[B^_M=a`k8]Y9^F7FY;LS)k`hm(4KZd*hGoJeC_BEI`Z6o5UkNj;W9foQnlEN4ZjoGFokE^lY5EHdCU;HjU`lYKSM?ll?;Fb6DaUUGLFV=WSG]FNgI]L[hJ?bTFd94(I[eN[O90C?4nRFV4Kb01V`aEkW?QjLnC[ane3PIdl|N7bMZP1Y`7WSa[0ceecZ[Zh?gXHO=j]bnZKcF)4FOU*g4|Jf`A[l]7mff|eRBX^BnZGO7Y|I*nFj:*7SmkA(VWGhmEhK5T:mikWA[*j*6M)M4ESlR07R?`AU_gRio(7Z0|W)b*XYHZZYjk9[Dk6e9XkjTY23[?KmMh6=VQN|8_YGWimNSk|gk1E;P)Wjm^EjMnN9[^Id30IKSXnSLG7:G=QfE0IE]TND3Q=[n^?Uk?=RTIgbQjUZMIC]mG[eng)AECG;jB?0odiM_f7_gNg]3cOeEd0IX.mmf

    ↬ Pour le cas particulier x² - 4 = 0, la méthode du discriminant fonctionne, mais vous gagnerez du temps en résolvant ainsi : x² - 4 = 0 ⇔ x² = 4 ⇔ x = 4 MMF.7h]Z3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDh_bB8cCPbi(b[ZJfU9:bfdBSmnm`799PPZYF9J=3l1RlF6a4;EMI)mGjnD|GjbbRmN;kGbMc_;E)UPFaknFaL?^lnB^[9h?nn9alW6gWoa[Ye9NGVccAGjK1^To;lEaMmQO0J[^doD6P`*VW4CQA:3VUeVN1R32RMCh5X1Z|)o0_=(J[NW_MkNcAAILG[aMK3MYWRnb6lYP|lUVbcChl5aFTdei?)kf3nSmO0a4^5c)bogaYOZFUOoEFj0JQ]GbA2e[]N[DZlLoKZZbo;^ejB6K3fM)`T6]SXHgSl=lme*nCe0gFAnNRWe[|N7ll5;]T1_gCdKmHHce26dHh*gWR((iiS127DJh`cQi66H?hoCU:Gfo^A`kmA7jlQamNHjn7:4_AnS;LOYbV;hLYjm6CUn=d5NWm9gn)ehM6H:|I*PQ=5j?fU2IFUHXPoI08hRmTb63m8J835j)FBA;CY472*;[IFaP2)_EG`:BABeB6^1UbE`X3C)e=J0d`1](^o(GUdFSSi6KV2Z?[4?B[doH9RhAd`1PVDRZSYMYNjdlL5FHn|Q02CAba0=C7D0eR2XA=B3Y9BL59leBT5B1Y06:|I)l1=:`9C`56GNiBM_OTmM0l**D|88XM`H=D)d18]3lM4`_^8ZjOEG(R2_;HbL(J9j2YQB|3j0UXjXEMm(Le2WXaY5B^6Z=_Q^Jo[6(R4hH4B=hJo4d3:GQea]n54ICWcC]H=beJ5RIR?N0XBbTUbfCTjkC8|5TePZAk4XJlB94K_|6V2iZ5;58M0RZbB)bSW63TVjGV5n6V3M2c?J?JGmo6F;]:Q]kI?PB8]o|6K=FS6UokFGGQciUBm|[7l_bkFgMQ`eBg(*KdMIMd:2XXfHYPJ]f7UQVBK[D4|5TE_i4|QdCeEDfdJbm4l()9XWhTYQeC68iB=P=0b5j|dE07l[Nh59|lPS=PNT)24A_:8VhQb`_5`SFR02RIn^=AW23ZCDYEm[FF5o;5QZn()8P3WD7Z2QGKLQNEMb0K4lOg8RD3I0L^9_A05hB=b=URoSIP1^C]TF|=D2bb`6:Odji(MT)653|OP0)B]4i^_i|(_BCd[B^_M=a`k8]Y9^F7FY;LS)k`hm(4KZd*hGoJeC_BEI`Z6o5UkNj;W9foQnlEN4ZjoGFokE^lY5EHdCU;HjU`lYKSM?ll?;Fb6DaUUGLFV=WSG]FNgI]L[hJ?bTFd94(I[eN[O90C?4nRFV4Kb01V`aEkW?QjLnC[ane3PIdl|N7bMZP1Y`7WSa[0ceecZ[Zh?gXHO=j]bnZKcF)4FOU*g4|Jf`A[l]7mff|eRBX^BnZGO7Y|I*nFj:*7SmkA(VWGhmEhK5T:mikWA[*j*6M)M4ESlR07R?`AU_gRio(7Z0|W)b*XYHZZYjk9[Dk6e9XkjTY23[?KmMh6=VQN|8_YGWimNSk|gk1E;P)Wjm^EjMnN9[^Id30IKSXnSLG7:G=QfE0IE]TND3Q=[n^?Uk?=RTIgbQjUZMIC]mG[eng)AECG;jB?0odiM_f7_gNg]3cOeEd0IX.mmf ou x = - 4 MMF.7h]Z3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDh_bB8cCPbi(b[ZJfU9:bfdBSmnm`799PPZYF9J=3l1RlF6a4;EMI)mGjnD|GjbbRmN;kGbMc_;E)UPFaknFaL?^lnB^[9h?nn9alW6gWoa[Ye9NGVccAGjK1^To;lEaMmQO0J[^doD6P`*VW4CQA:3VUeVN1R32RMCh5X1Z|)o0_=(J[NW_MkNcAAILG[aMK3MYWRnb6lYP|lUVbcChl5aFTdei?)kf3nSmO0a4^5c)bogaYOZFUOoEFj0JQ]GbA2e[]N[DZlLoKZZbo;^ejB6K3fM)`T6]SXHgSl=lme*nCe0gFAnNRWe[|N7ll5;]T1_gCdKmHHce26dHh*gWR((iiS127DJh`cQi66H?hoCU:Gfo^A`kmA7jlQamNHjn7:4_AnS;LOYbV;hLYjm6CUn=d5NWm9gn)ehM6H:|I*PQ=5j?fU2IFUHXPoI08hRmTb63m8J835j)FBA;CY472*;[IFaP2)_EG`:BABeB6^1UbE`X3C)e=J0d`1](^o(GUdFSSi6KV2Z?[4?B[doH9RhAd`1PVDRZSYMYNjdlL5FHn|Q02CAba0=C7D0eR2XA=B3Y9BL59leBT5B1Y06:|I)l1=:`9C`56GNiBM_OTmM0l**D|88XM`H=D)d18]3lM4`_^8ZjOEG(R2_;HbL(J9j2YQB|3j0UXjXEMm(Le2WXaY5B^6Z=_Q^Jo[6(R4hH4B=hJo4d3:GQea]n54ICWcC]H=beJ5RIR?N0XBbTUbfCTjkC8|5TePZAk4XJlB94K_|6V2iZ5;58M0RZbB)bSW63TVjGV5n6V3M2c?J?JGmo6F;]:Q]kI?PB8]o|6K=FS6UokFGGQciUBm|[7l_bkFgMQ`eBg(*KdMIMd:2XXfHYPJ]f7UQVBK[D4|5TE_i4|QdCeEDfdJbm4l()9XWhTYQeC68iB=P=0b5j|dE07l[Nh59|lPS=PNT)24A_:8VhQb`_5`SFR02RIn^=AW23ZCDYEm[FF5o;5QZn()8P3WD7Z2QGKLQNEMb0K4lOg8RD3I0L^9_A05hB=b=URoSIP1^C]TF|=D2bb`6:Odji(MT)653|OP0)B]4i^_i|(_BCd[B^_M=a`k8]Y9^F7FY;LS)k`hm(4KZd*hGoJeC_BEI`Z6o5UkNj;W9foQnlEN4ZjoGFokE^lY5EHdCU;HjU`lYKSM?ll?;Fb6DaUUGLFV=WSG]FNgI]L[hJ?bTFd94(I[eN[O90C?4nRFV4Kb01V`aEkW?QjLnC[ane3PIdl|N7bMZP1Y`7WSa[0ceecZ[Zh?gXHO=j]bnZKcF)4FOU*g4|Jf`A[l]7mff|eRBX^BnZGO7Y|I*nFj:*7SmkA(VWGhmEhK5T:mikWA[*j*6M)M4ESlR07R?`AU_gRio(7Z0|W)b*XYHZZYjk9[Dk6e9XkjTY23[?KmMh6=VQN|8_YGWimNSk|gk1E;P)Wjm^EjMnN9[^Id30IKSXnSLG7:G=QfE0IE]TND3Q=[n^?Uk?=RTIgbQjUZMIC]mG[eng)AECG;jB?0odiM_f7_gNg]3cOeEd0IX.mmf ⇔ x = 2 ou x = -2

    ↬ Pour faire un tableau de signe : "Le polynôme du 2nd degré est du signe de a sauf entre ses racines"

    ↬ Parfois les racines x1 et x2 ont une forme complexe : 17 + 91 18 MMF.7h^C3`00QEMOLn963?l4n*hlVQV7FNdONmdg*WdYdf0bh(_ePAOgjZI(4kPjY;e[9]nmdWY]bia=*a;dTkAJoKAJHGK;k(=j|i[WbgEfmGJeFfcBNKkN1:_Rm(NZN=aoW]bGeL_aD3a=?^d?Tko]C([YeBiOiWMYT?keFYcfal(eX)XQgF`aB632BAA)16YnW)MY02:LB8eo0U0=mPOjEFQ=OkVoVbncH7[eO[GKYWVnc6hYPndfVjoBh)=;FDffiNVd?cbRml|Y4)5Z]BP?YmOZFeKnDfn1JQQFbc)e[=FZDjnOO[^]b_;?eZJ7K3jL)*|7]CXJgS`)loecnC91gFAcO2h)[LF6Rn=[]DM^g3lImHLaeR)dHH*gG28)UiS327DHh*kSi66H?HcCUnOdoNIbk=A7j(];m)DUnW:4_QbQ;lOYbf7jLYbn6SUm=D9OWM=gnWoaj|P*I2e32:7aN]B6b]Bb*QVd1aY1k9d(6J*gA6C`L|`RFG::?4P*F2mS0d=H[ohBT2aZTM80;d_V*VVHVJd1Y*7NH=ZM_kP|6Wf(g(A(NF*MTWim`SIaRIP60(]4DWFlC=][iH6[`|a71TZPTB(NV)X0ZT5DRJP1BBli:CQYUX:T2R*=D8bMi2F*QRgQ:LRhbdgJoYjl1XXWX80EA;TcJ81Z3a21iZMSN|5Ee)f[HTILFAhkHD3c53BUH7d0;AUE[KRKiZ1)*CN)U(9eJoCMd?B?IDAd`XPH`E^;Yf4X3KoNl:(`V_ZTJ*OS[TG3bTBl1`aU8Ke|VIadWAH99[=FR6AGdXPG8G;K=l1dDJ)8AJ93D4dNTGF(6iAd^lCl(|Bl4F:fOdcknl|*JeOIf2?3Ua3iI|nH]F9(nf|_^ckd:E_JG_UHUVm_jci|T)8VgXRfkX86AAdeB`UL]o?0(T_BYIH89[?b9i;]V:R^|XUVkIdHMS19a9O4[6(Bbd72KQP8dI|]0_Y*mPJGHY=7J0i(Md0PNT=9a3eTNKU0|4H443eKKcB26db]BKWB]|KjF[K*l8DA1g6X)d15^Fi3mZ[R1VAkn^16Y6b0i(3MS0K`T[PI:E_4c`KLV;*]HZd1TUd)D?acbXg9M|20H_L3L52:c]7eIi)QWiBVMNfMSQ^FKB7M])a*Fi;KnCenI8[*YAdZO:mA_BMI`J6n5EoNj[[8fOTkN:_2EMK[[Om_gN*SZlJ8bU|LBhNE]aZWnNkU[I7;HRb[^;G6cQ[g[?KRf^Ab=OjWF417(YSeI[g)0c73nbAV4Oh12MQTZ7:O2lnoWggmZ7D`X9?O?dcF1SGP??3TFA_XZG=NEDO_A`nK=o]3DGf[LH`h:an;DeUSRgQC?[U_HkDV*Le3DNf;Gim:jK(U2^WY|dNDO?[eE1DNBkKRPmNY0IdNd9TcGO643)Pa0VndMKohbN`1b|;93RUZZJ;Z^F]B^k(QQOJNVX:Pln9^PhNA7J]Wo5:JUem?_So[5lb4jo35nVimkXNWjGh615b6RfinM|5AfWiL1EBfIIH756kkdo[CcGbKT_6MXVMiV^GdOOGVKIL7dOB=Q0DnoTgO_AA?Me]l:[9C]0?=4nnB0;XlH:1gNY(:gc7TOh?Le2P.mmf et 17 - 91 18 MMF.7h^C3`00QEMOLn963?l4n*hlVQV7FNdONmdg*WdYdf0bh(_ePAOgjZI(4kPjY;e[9]nmdWY]bia=*a;dTkAJoKAJHGK;k(=j|i[WbgEfmGJeFfcBNKkN1:_Rm(NZN=aoW]bGeL_aD3a=?^d?Tko]C([YeBiOiWMYT?keFYcfal(eX)XQgF`aB632BAA)16YnW)MY02:LB8eo0U0=mPOjEFQ=OkVoVbncH7[eO[GKYWVnc6hYPndfVjoBh)=;FDffiNVd?cbRml|Y4)5Z]BP?YmOZFeKnDfn1JQQFbc)e[=FZDjnOO[^]b_;?eZJ7K3jL)*|7]CXJgS`)loecnC91gFAcO2h)[LF6Rn=[]DM^g3lImHLaeR)dHH*gG28)UiS327DHh*kSi66H?HcCUnOdoNIbk=A7j(];m)DUnW:4_QbQ;lOYbf7jLYbn6SUm=D9OWM=gnWoaj|P*I2e32:7aN]B6b]Bb*QVd1aY1k9d(6J*gA6C`L|`RFG::?4P*F2mS0d=H[ohBT2aZTM80;d_V*VVHVJd1Y*7NH=ZM_kP|6Wf(g(A(NF*MTWim`SIaRIP60(]4DWFlC=][iH6[`|a71TZPTB(NV)X0ZT5DRJP1BBli:CQYUX:T2R*=D8bMi2F*QRgQ:LRhbdgJoYjl1XXWX80EA;TcJ81Z3a21iZMSN|5Ee)f[HTILFAhkHD3c53BUH7d0;AUE[KRKiZ1)*CN)U(9eJoCMd?B?IDAd`XPH`E^;Yf4X3KoNl:(`V_ZTJ*OS[TG3bTBl1`aU8Ke|VIadWAH99[=FR6AGdXPG8G;K=l1dDJ)8AJ93D4dNTGF(6iAd^lCl(|Bl4F:fOdcknl|*JeOIf2?3Ua3iI|nH]F9(nf|_^ckd:E_JG_UHUVm_jci|T)8VgXRfkX86AAdeB`UL]o?0(T_BYIH89[?b9i;]V:R^|XUVkIdHMS19a9O4[6(Bbd72KQP8dI|]0_Y*mPJGHY=7J0i(Md0PNT=9a3eTNKU0|4H443eKKcB26db]BKWB]|KjF[K*l8DA1g6X)d15^Fi3mZ[R1VAkn^16Y6b0i(3MS0K`T[PI:E_4c`KLV;*]HZd1TUd)D?acbXg9M|20H_L3L52:c]7eIi)QWiBVMNfMSQ^FKB7M])a*Fi;KnCenI8[*YAdZO:mA_BMI`J6n5EoNj[[8fOTkN:_2EMK[[Om_gN*SZlJ8bU|LBhNE]aZWnNkU[I7;HRb[^;G6cQ[g[?KRf^Ab=OjWF417(YSeI[g)0c73nbAV4Oh12MQTZ7:O2lnoWggmZ7D`X9?O?dcF1SGP??3TFA_XZG=NEDO_A`nK=o]3DGf[LH`h:an;DeUSRgQC?[U_HkDV*Le3DNf;Gim:jK(U2^WY|dNDO?[eE1DNBkKRPmNY0IdNd9TcGO643)Pa0VndMKohbN`1b|;93RUZZJ;Z^F]B^k(QQOJNVX:Pln9^PhNA7J]Wo5:JUem?_So[5lb4jo35nVimkXNWjGh615b6RfinM|5AfWiL1EBfIIH756kkdo[CcGbKT_6MXVMiV^GdOOGVKIL7dOB=Q0DnoTgO_AA?Me]l:[9C]0?=4nnB0;XlH:1gNY(:gc7TOh?Le2P.mmf par exemple. Ne prenez pas peur ! Procédez juste à une étape de vérification en montrant que x1*x2 vaut bien c a MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf .

    img

    Etude du Signe

    ↬ Les racines correspondent aux valeurs de x qui annulent la fonction

    ↬ Ne développez pas les termes, au contraire l'objectif est de factoriser

    ↬ N'oubliez pas de mettre la double barre pour les racines du dénominateur

    ↬ Parfois l'exercice impose un intervalle pour x, dans ce cas mettez bien les bornes min et max de x sur la première ligne du tableau

    img

    Multiplier ou Diviser des Fractions

    ↬ N'oubliez pas de mettre des parenthèses lorsque le numérateur et le dénominateur contiennent plusieurs termes :   x+1 x-2 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf x -x+6 x² + x + 1 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf = (x+1) (x-2) MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf x (-x+6) (x² + x + 1) MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf = (x+1)(-x+6) (x-2)(x² + x + 1) MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf

    ↬ La barre de fraction fait office de parenthèse, je vous conseille donc de les faire apparaître au numérateur comme au dénominateur. Notamment, quand vous avez un signe "-" devant la barre de fraction. Ex :   - 2-x x+1 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf = - (2-x) x+1 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf = -(2-x) x+1 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf = -2+x x+1 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf

    img

    Additionner ou Soustraire des Fractions

    ↬ Lorsque vous avez une somme ou une différence d'une ou plusieurs fractions, il faut systématiquement mettre chacune des fractions sous le même dénominateur.

    ↬ Lorsque vous mettez sous le même dénominateur, la soustraction (ou l'addition) ne s'applique pas au dénominateur, on a   ad-cb bd MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf   et pas   ad-cb bd-bd MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf

    ↬ Comme la barre de fraction fait office de parenthèse :   - 2-x x+1 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf -2-x x+1 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf . Faites apparaître les parenthèses au numérateur, puis distribuez le signe « - » à tous les termes du numérateur. Ex :   - 2-x x+1 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf = - (2-x) x+1 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf = -(2-x) x+1 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf = -2+x x+1 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf

    ↬ Ce signe « - » n'est rien d'autre que le nombre -1. Appliquez alors cette méthode dès que vous avez un nombre réel devant la barre de fraction. Ex :   4 -x+4 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf = 4 (-x+4) MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf = 4(-x+4) MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf = -4x+16 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf

    img

    Résoudre une Equation

    ↬ Attention à l'espace de résolution de l'équation, est-ce l'espace des réels MMF.7h]V3`00QEM]Lm|f3?h5oPonZ=`Y?X8_4]E_SZMV_|EbcUKKgLgkX6EZjY]ONXZj]N_U_hlP:*Ub9Bm)HS`02N01*ESN;K)gjleZWRoGfNCkI;OHY?=l_*UFAOeYECc_WjJ?IOEb?QF7jHOmJOZgWW5n(mWUbo`Q3CiFaE)m?imVWn[S`FSOYi^]lA)XL1Z5DfHd?lgc=008YcZLLPI6bn4=Smi`=:Jo?Sk(UeU`(gVMk;IYWRncNlaQ^lgVZcAhme9FdfeIeo_C|eWmDPL|G:dFiJWnDWg;bWmL1:)6HCFoD7)W5YejOOSc_R[;_eZK7;9iMn[27CQe=1`l3_?m|GbI6]edLchFYmJR`lGiBkDgg)SjI7*mS;4NX*dS_)4JLKS674JX``Qg62L?`naQW3joY)n3lk5C7j7?[m7WenSc4OYlQ3hOYln7jO=anV;Tm(D8OG59gn[o=EN7Ql2M3264b^^==QC:bL;883f*1|AnTD83mhH83Ej)RBN=Rb8?4P)dUdd3*nQfO`i*ITk4=(3;W2c1==A()h1YP3NX=_9WVdFSS`dg=Q(NJH^hgin*83HAe*0PVG2|SYLa_1*Nf2[(_6O011XiXXja3R0JQ9F86Y3dT^)(TRHYL:a0dP11f75J0Zk85YX2Sk_L^)k7Y3D*=041Y232WT43A7^01TQj)Z[WG4AMG14ChT9Cg`T1TZHP(*G]7DQ)Z4Y1UdT:G0ZbFHPYg;I6g`e=ofQ2A2J4R6:d]FPJ2]?`naDm2RFaCiYfD?IJ=:aDA7]0HAKLbi[8BMMY4B(bJHF8MbF=J14R6kh1Z_(JAL*C7X9XlXRdIMbPY8|Bdl|*ddJ8BO`Hho_;44]KfMPSAKLPnBIVC5Xaa_SBbkH?OLXJ``__Bm?`f_EQP`*edDKD[P|J57GD=2I`flh3CBa9Ue[2R4c:Wg0B(A5MIA=9fS]Ai62BR6j9BLLTVX:4g31P[3MK6?*Qk`d^*BH?TaBXkX20mHHBRg]8dg818hd8`7ZfgVP4)iQJTk2UKHg^F[I*dHdA1G4X)h15^FeMmZYR1fAknV1796l0Yl3NS0K*T]PIbE]4c`K|V=*]8Zd1W5`)4?AcbXk9M|208?L3c:1TgD;KWdf6OU:ZMVW_M)b`K0]YYfF7fY;Lcao=AbH;KMZQ()l)^IQX1H_jE_?bE]]5eTkO`E^5fJFmG__ofThn]4[SDGR;IFVal5IU=Cnl_3FbFHaU5KOFf5[SWUEOgI]L[lKo50_`B0JcgZcGNL1ViSjaFFCn00GCI4IU?aN)7bnnOSPM3)ShS`nCcR065PllNCX3?WG)Zn[|en73i]gnE5CO78h=c|[WXRhMePI_bT)1glNL9S6JmdFe;ohhU=aWRaCBn|TSC3kmFUN5aic|N)]eHT0W1gCZ*ULL30=lS30gF]]OllW|PI6IUBdBf595eE|^DFg?1QGB[iCXa2aN?6c(HFCWjVRnU^KUem[gYg_1S=T)Gj`OeYO[c6WJW`71K3)KkWjacXfdOKL:|6c;;0o*gOKWmHNknCI5hb]jco8dbo7kj]gggN:g((B(kLo_`NKVeJci3fXO=AD.mmf ou des complexes MMF.7h]S3`00QEOKL]]63?d2oh(NjAUJ|mPklbJ[S:^YAGTT9^U(e*LfIEe=IBVUiCAYa_oNaG99PPZYFYJ=0n`2)5P|A6dGfM_ENSW;5j_|j]_EM[i)IoUZ7Bf;dio;hW7gLO9*E|o7*k6OO=PM9Yo]U??[Zffnb)oC:?gkYCS]SXLKL:[gjG[SW4*ZW^Qh`YcVQeVNAQ1?^71_1RJN07_3i1^UWC7mnN5n]|RRjj_GZndVcO=5MXL9K3KIK9U6kik;J[8YCjOMhM6]OSi5;5h^inGQm59mcLYojPQ)3L=ZOZKV]EYdj]Gnmk^Z;?mZKG;85]bY(gM*ZoE`L1?W^jObNN9dToGaZCRd5Q_?SboEcW6Sji?AmC36NX*fS?26BlCQ4W(HX*hSg66L?0bcQg7jo9an2(k7CWf4?[m4WenRcdOXla7jO9`n7jK?anV;TM(G8oC5)Gf_omMM7Ah3[fF88EI1kkBaD;D|W0`b0)V02H|D6WP`J3*4fA1?5QOY0187K91M0d=LkohDXLaZ4M)087)b1==*De|3C0)2*KFA?oT|6[eag=QD16*mhV5o*X;hA5*3P6C2|CY1a_1B1)2[(0fN0A=XI4dMHae0=0P[XA^*m9;SS98V:G2|*=80*MQaFP:^b1JJ0SMMK]cfHm8J29Z0058*hLnP0J8m*0LT?AgELbid5eLH*UaHjS|Q*=8D9:IPP`?92EDYj399*If2K1IR2SN](GA3dcnF49498J8HKBfJQ|8d`Wi5Sd99k9)V7IBo5Pd[YFT?:(b21mTB)NTjCC(RTeK*_2^YYTG*?W`3E)MEJn893d4dNFS[6CLXjJ8HNQT(K*A3hQ^(7bj3TKjb9R15]b3i9ZHQ[FP`_Pbbkl)*||G`8_Rb=;b]nk11PYYX8mZj2aZT)fXF4kQYih4UUZA;;F549^E?)8VHR:jbRBC]WBQb(8VVF`cYV(ABT90K1XceIP^3?^Bm`BG8i66B0]DM4;3ND6:VQb`]5c3BR02|In^=A_23ZCD9Gm[FF5o;5RZjDE=PH]T1;(Y=jk9G5ClPfm(7?b9i0cP5oVHdP9K4cdSN8WXfh(NTKA5Y3N3TLX2PWe=nC;H31PBi7n069N|Fn_i|(PbCD[E;NjOSQfEKB3l])mBFi6kfh3hbFNcCSXGkGj(j9U[1XkkE_H;EMi6gdol*[(;]|T5_`eo[9amJYO(XP|Fcm5P4Zo:Jkek1ZWdFHeVIeVZleOB|m^;Ni78eoZMHP4LbV?Ej]LXS=WGgRDfeN`(:[|VLbWl^??eam_FSe|60SWoo(5TKa(3RPBO?fX1?WK)Z)XIen;1i^c|DeMLJ6hNcl[4hUCFf3Zo;_OlbEV|BYgUOE;_R]gg9*kI88Cem30RCCknLZR9PCWJl3CXaX9(3)WFV:oJ)0Ci6^1]]oJokI0k0bLc;7PU|ZJ;Z;INXmVN32QUFBWCR5|o_enh`|V?ei;jCi^FGDnS?nPECiS]l_[YOWJmcYnUo1PBgcFfjoLTkMm;VgC;2|Rfb?49gVamG7fiWVaB=[nPmbm(|ann[]mnfleoR63?f?km6ln]G]nHo]?6?X*.mmf ?

    ↬ Ne pas considérer que l’inconnue sera toujours noté x. Vous pourrez tomber sur des inconnus notés t, n ou p.

    ↬ N'oubliez pas de mettre des équivalents ⇔ entre chaque équation.

    ↬ N'oubliez pas de mettre des parenthèses si nécessaire : 3 + x = 4 x+2 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf ⇔ (3 + x)(x + 2) = 4

    ↬ A la fin de la résolution, concluez en écrivant S = { solution(s) de l'équation } ou S = ∅ s'il n'y a aucune solution.

    img

    Dérivation

    ↬ Le domaine de définition de la dérivée de f(x) = x MMF.7h]Z3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDh_bB8cCPbi(b[ZJfU9:bfdBSmnm`799PPZYF9J=3l1RlF6a4;EMI)mGjnD|GjbbRmN;kGbMc_;E)UPFaknFaL?^lnB^[9h?nn9alW6gWoa[Ye9NGVccAGjK1^To;lEaMmQO0J[^doD6P`*VW4CQA:3VUeVN1R32RMCh5X1Z|)o0_=(J[NW_MkNcAAILG[aMK3MYWRnb6lYP|lUVbcChl5aFTdei?)kf3nSmO0a4^5c)bogaYOZFUOoEFj0JQ]GbA2e[]N[DZlLoKZZbo;^ejB6K3fM)`T6]SXHgSl=lme*nCe0gFAnNRWe[|N7ll5;]T1_gCdKmHHce26dHh*gWR((iiS127DJh`cQi66H?hoCU:Gfo^A`kmA7jlQamNHjn7:4_AnS;LOYbV;hLYjm6CUn=d5NWm9gn)ehM6H:|I*PQ=5j?fU2IFUHXPoI08hRmTb63m8J835j)FBA;CY472*;[IFaP2)_EG`:BABeB6^1UbE`X3C)e=J0d`1](^o(GUdFSSi6KV2Z?[4?B[doH9RhAd`1PVDRZSYMYNjdlL5FHn|Q02CAba0=C7D0eR2XA=B3Y9BL59leBT5B1Y06:|I)l1=:`9C`56GNiBM_OTmM0l**D|88XM`H=D)d18]3lM4`_^8ZjOEG(R2_;HbL(J9j2YQB|3j0UXjXEMm(Le2WXaY5B^6Z=_Q^Jo[6(R4hH4B=hJo4d3:GQea]n54ICWcC]H=beJ5RIR?N0XBbTUbfCTjkC8|5TePZAk4XJlB94K_|6V2iZ5;58M0RZbB)bSW63TVjGV5n6V3M2c?J?JGmo6F;]:Q]kI?PB8]o|6K=FS6UokFGGQciUBm|[7l_bkFgMQ`eBg(*KdMIMd:2XXfHYPJ]f7UQVBK[D4|5TE_i4|QdCeEDfdJbm4l()9XWhTYQeC68iB=P=0b5j|dE07l[Nh59|lPS=PNT)24A_:8VhQb`_5`SFR02RIn^=AW23ZCDYEm[FF5o;5QZn()8P3WD7Z2QGKLQNEMb0K4lOg8RD3I0L^9_A05hB=b=URoSIP1^C]TF|=D2bb`6:Odji(MT)653|OP0)B]4i^_i|(_BCd[B^_M=a`k8]Y9^F7FY;LS)k`hm(4KZd*hGoJeC_BEI`Z6o5UkNj;W9foQnlEN4ZjoGFokE^lY5EHdCU;HjU`lYKSM?ll?;Fb6DaUUGLFV=WSG]FNgI]L[hJ?bTFd94(I[eN[O90C?4nRFV4Kb01V`aEkW?QjLnC[ane3PIdl|N7bMZP1Y`7WSa[0ceecZ[Zh?gXHO=j]bnZKcF)4FOU*g4|Jf`A[l]7mff|eRBX^BnZGO7Y|I*nFj:*7SmkA(VWGhmEhK5T:mikWA[*j*6M)M4ESlR07R?`AU_gRio(7Z0|W)b*XYHZZYjk9[Dk6e9XkjTY23[?KmMh6=VQN|8_YGWimNSk|gk1E;P)Wjm^EjMnN9[^Id30IKSXnSLG7:G=QfE0IE]TND3Q=[n^?Uk?=RTIgbQjUZMIC]mG[eng)AECG;jB?0odiM_f7_gNg]3cOeEd0IX.mmf est MMF.7h]V3`00QEM]Lm|f3?h5oPonZ=`Y?X8_4]E_SZMV_|EbcUKKgLgkX6EZjY]ONXZj]N_U_hlP:*Ub9Bm)HS`02N01*ESN;K)gjleZWRoGfNCkI;OHY?=l_*UFAOeYECc_WjJ?IOEb?QF7jHOmJOZgWW5n(mWUbo`Q3CiFaE)m?imVWn[S`FSOYi^]lA)XL1Z5DfHd?lgc=008YcZLLPI6bn4=Smi`=:Jo?Sk(UeU`(gVMk;IYWRncNlaQ^lgVZcAhme9FdfeIeo_C|eWmDPL|G:dFiJWnDWg;bWmL1:)6HCFoD7)W5YejOOSc_R[;_eZK7;9iMn[27CQe=1`l3_?m|GbI6]edLchFYmJR`lGiBkDgg)SjI7*mS;4NX*dS_)4JLKS674JX``Qg62L?`naQW3joY)n3lk5C7j7?[m7WenSc4OYlQ3hOYln7jO=anV;Tm(D8OG59gn[o=EN7Ql2M3264b^^==QC:bL;883f*1|AnTD83mhH83Ej)RBN=Rb8?4P)dUdd3*nQfO`i*ITk4=(3;W2c1==A()h1YP3NX=_9WVdFSS`dg=Q(NJH^hgin*83HAe*0PVG2|SYLa_1*Nf2[(_6O011XiXXja3R0JQ9F86Y3dT^)(TRHYL:a0dP11f75J0Zk85YX2Sk_L^)k7Y3D*=041Y232WT43A7^01TQj)Z[WG4AMG14ChT9Cg`T1TZHP(*G]7DQ)Z4Y1UdT:G0ZbFHPYg;I6g`e=ofQ2A2J4R6:d]FPJ2]?`naDm2RFaCiYfD?IJ=:aDA7]0HAKLbi[8BMMY4B(bJHF8MbF=J14R6kh1Z_(JAL*C7X9XlXRdIMbPY8|Bdl|*ddJ8BO`Hho_;44]KfMPSAKLPnBIVC5Xaa_SBbkH?OLXJ``__Bm?`f_EQP`*edDKD[P|J57GD=2I`flh3CBa9Ue[2R4c:Wg0B(A5MIA=9fS]Ai62BR6j9BLLTVX:4g31P[3MK6?*Qk`d^*BH?TaBXkX20mHHBRg]8dg818hd8`7ZfgVP4)iQJTk2UKHg^F[I*dHdA1G4X)h15^FeMmZYR1fAknV1796l0Yl3NS0K*T]PIbE]4c`K|V=*]8Zd1W5`)4?AcbXk9M|208?L3c:1TgD;KWdf6OU:ZMVW_M)b`K0]YYfF7fY;Lcao=AbH;KMZQ()l)^IQX1H_jE_?bE]]5eTkO`E^5fJFmG__ofThn]4[SDGR;IFVal5IU=Cnl_3FbFHaU5KOFf5[SWUEOgI]L[lKo50_`B0JcgZcGNL1ViSjaFFCn00GCI4IU?aN)7bnnOSPM3)ShS`nCcR065PllNCX3?WG)Zn[|en73i]gnE5CO78h=c|[WXRhMePI_bT)1glNL9S6JmdFe;ohhU=aWRaCBn|TSC3kmFUN5aic|N)]eHT0W1gCZ*ULL30=lS30gF]]OllW|PI6IUBdBf595eE|^DFg?1QGB[iCXa2aN?6c(HFCWjVRnU^KUem[gYg_1S=T)Gj`OeYO[c6WJW`71K3)KkWjacXfdOKL:|6c;;0o*gOKWmHNknCI5hb]jco8dbo7kj]gggN:g((B(kLo_`NKVeJci3fXO=AD.mmf +* = 0 ; + MMF.7h_N3`00QEMOLn963?l4n*hlVQV7FNdONgem8]BG(PdV0kiL7gQa[fk:=86[`kEgcNBkEeZ_KIVcJDR2OY9FdTn[GLa^VKeOKeKcO;W)[Uj_MX]=)|oGVf1EW?iH5HokCi?k|WXi7XZWbLOmHO:gWDTi_M[Ubo`^3M:o_QBWoO5`3JQjB3MK31:HL1:54h6J7nMi6P244jW`C`2Z8GjWTWMBXcGmiOi^_|b2jMGKeFjKi_Tb^jD:]]]|_TZ33bmU=MVFYm?nl8SN;jM0Q:_EXSbL_UCO|_:O)PFZHEP]cmBbEZ])_GkjkKHZbcmKVajbnG3V;1cDjVPhNAcVnnObIH:jbNKhG1aJR`dGaboE7[UaofCD7lIHSm264Mi`RCQLHPhSe664)hbCQf7f(4iOW]?gbNGH[Xo*UiOXbd_di*Qm)D9OS])G`oCU)7de|_]ZQ;hjYnodon;ATB78FXH**^?eZ0fEZFF5(VP?=8;H)aTbB6n8b)3UV4Fbi1AiT22`G|H1Q[1NoCTPFM*RU*5NU|b5bS0cF`(Z0kc1]9To^bXJOHcLa4aiI1fBOWg2T[Q2C0)0EB:Y)ejVm5Yih;X`li612VSTR0NV?X1Z47DRJT3B:dh:CYZE8:T3B*(DHbMi2jAQBgP9(^iZTkJOToM0l*8D|8HX]`L=D)d68]1lMd`_^8Zj_2YVa9GU|A(6=2m1D`WF1m2BDMF:^fT)jQ9dhdPUG;M6?`g=o5Q6A2N(R15l]7PIQ|[`j`gO2Z=YCYYa()iH=:a(a6O0D1GBbiK9BCMYTF0b6hE8MRf=N1(RUkh1YX|JAB`BKH9ZjXR|HmbPY(|Bll(*ld68FOjHl__346_GfMPS`iL*nBIWc4HaY_cJbfh)OLVFdR|Obo;d]Yk31RU^hX=XjbUXD=AA|eC0MG|OF6I9^]8B`FCFoTBbS8WZ)Y]X=]j9HA^CA7a9c2HV|A`Tk8B14;fkAD0Ob]k5YMS=8c*7Y]|P4;e;BL*mI7Vk*;11110mFnmZ17La]BKUF]|Jjf?I*|(GAQc4XNh0=NFj3MW[R[|Pfmd7MdG:1TP)g(UX06n9^b=URoSNP;|VKH_HJ81TQ`(DoiabefAk`H1Ri`?`XQBMXi_?YT9oDi[F]KLkk[9|6nU^b`je;KVMgn=7YPQMfJ72ma[E)LT:3_F]n?9F=dG)c]o1FaF^|Ui_oGo[KSjbJXbX_(FaM5QiZg6JkekN6[TZaZZ:Ff_|[77?JRn^CBighgnJ1K*UPeE_e^|l43(lCf8FhAn*P4)6:_Nil?ckfMN?FPL3)_Wm`fA]D0?)0dnN]H6N)^MEMOAnm;1i|clDeKLJahRcl[4hUCFfR3OUTo|fEV|Be3`DeKkhmJVD_UZRT9hnNDC5Yem?EN6aI2_NNidJd)T1WCWC5Do8P1hSl4AKmh^Oc1jP;9c|T::A:ZZN^bJefa]BJ)nY:*Pj;nhf^1WI|G[6;jEinOGTik=n`Dbh2En|kmKWO[RKkVM0`6Fhj)IW5abUkHME*6eKIWU0hKHo[CoNc;LY6MlXNYJWFDkOEfmNMgU07lJ_:;k]7X9Xn[KKhW(GC)U=a]?M8_QQbY`Jj`8cM0|0bJ4C=4iTgFgaZ3TOn^o2K?51bkJA)go_m8KEo*LMF:Dk.mmf

    ↬ "Le coefficient directeur de la droite est a" et "la droite est tangente à la courbe en a" ⇢ Ne pas confondre les deux a !

    ↬ Lorsque vous calculer f(q+h), vous obtiendrez un résultat avec des "h"

    ↬ Pour un fonction affine ou linéaire, le taux d'accroissement est constant (il ne dépend pas de "h"). Vous avez donc directement la valeur de la dérivée, sans remplacer h par 0

    ↬ Lorsque vous déterminer graphiquement f '(3), vous devez prendre le coefficient directeur de la bonne tangente, c'est-à-dire la droite qui colle la courbe en x = 3

    ↬ Si possible, passez par le calcul de f '(x) plutôt que par le taux d'accroissement pour déterminer f '(3). C'est plus rapide

    img

    Domaine de Définition d'une fonction

    ↬ Certaines fonctions correspondent à un mixte de cas, il faudra alors prendre en compte les contraintes de chacun des cas. Par exemple, pour f(x) = 1 x-1 MMF.7h]`3`00QEO=L]]637h2_h))m0b]FN`?^La=EQUGDd_bB8cCPbm|b[ZJfU9::fdBSmnm`)jB11EB]F`;7k0;h(=R8NYQ|GZogRaWaF:m^WRmN9Q_lUVagTC;l_SW|WcLOI[LEOG;HElnCCk^mY=ok5C:bh^7HU7LiU7nmiOb^3_|[`1EmoUVRdhR4dnBN29*lm)|b2)0N6;SRAB0FPW_Y7ZWbISoNWLkFjbRbh^gRhM]GQB;e*dU|=f^I||ln_1BeI=]MCc^mXnhn^DHRGRiW5OkhiOjfj[jedM0=*b[iHUJN[GZe)^WgfoZZ_Z[]NTQFg1WC]b1EbO3`M)hf3eG;a?DCCJ7ig;OFV`l?gbYMlR=[lm6el(Hja7J((8KcQ67LlaQQ3Z(L8MalS3(7|KYbe?j8KPL)oDAn_8LOGV)_QbQ;dOXbg7jLYRn7:N_ATiOSM1GYoBMoS]N7AV3m3;449^PAff|S9LEbZ03d0SB|(R***I3*XHPYlbCYDE901T26fA|H8Smk|lAbL:;U0H4FK8UU8JIFPlX3*P6ddKnk;9Xm2Ub4e(ET7E8Q_dI2n8B(*d0UXVTjPBI`V|EP:_2=7P6BZ2A4njHjP2Z*EB9Y05I;cTY)6VFPZ*:I0e*S9gT9I26KN4Yb;C;CMYnC5h3aA=*`0ZRg1Td*;D7R43cdc4mib[YhZZD4ENFnlhHd3`5CBWHh41;AUD[_Tach5?*cD9:hJXeQViXn|Lb8SYSA8cP[LGC(9A6f6ohDAQ=OM:dPg7GXV5U4]h3Q[:**KI(c[Y)B`BCFB|T|R]Y`X^*^?0=(9gG966Nj11DTdMR7N(6IEfDU5n6U3M2b^:W53mLQUBkbZH16Kj5b3LaDmJ::LGG*GIm65:f55h5GiJ7]kh?6jBhRCNRmEg*X:BSIRV1ZgHNF6K9^]*b`FAFoTbbR9WZ:Y]Ye]jIH*NC9Ga;bSXV|aaTk8J14;gI8Z0?IFm`:CIiQ)K0M0L4XSNDA=Y3UYL;16]40=6cmDHS^(7DVY*[KF_dek:5QVm()4QSg*4ZbUG[|ULE=b3Kd`Lg8VD390O^ISB0UlC=B=TROSKPaZA]4F|=T)abP):ODfi(]P(65;|OP8=BM0]MOcHIQTUYfZFmdg73|RfTViHMJT]b(k_3Sd`A^kASQNlNnIQT1HOjEW`5Zn|RInO_4:`:MmVP]n6oMI)?[1XmZV1a;1eF`FZLiXMG|2H^Rk6|d]JJ)V_J|mZcNk?ceOROHP4MbF3FVoFjR(*Dki)H9_P7962CXLYm;ScoLO;e`n]P*2MoO9Sd1SF`N)39da_XZG=FehN`SQhf[gOk|_kVLHYhECfFalYSRgQC?KT_HejCXNJn[7OUKdnE3=TBQOch:B1:?_mj[(^09M_a?^SDP4h?j(b9[Wa21_*HPCOJ^UolI0h0IN5TQaBeE5WgUV]B^k(QQ*h[=CW1aO?K3Ak6jU0ohgOBX_Yj3?gYGc0E[|?Wjm_ejCXlCOLc8)0fg7CmRg))d_K3(Z:b;EI5A)jf?jloG|nf)AWOb?^Zb5L5OEnmOWdXX^CbUHAiY2kO_21A^(MW^L^g=mc`7k86FS`.mmf , nous devons avoir x - 1 ≥ 0 (contrainte de la racine) et x - 1 ≠ 0 (contrainte de l'inverse). Ainsi en regroupant ces 2 contraintes, nous obtenons x - 1 > 0 , d'où Df = 1 ; + MMF.7h_N3`00QEMOLn963?l4n*hlVQV7FNdONgem8]BG(PdV0kiL7gQa[fk:=86[`kEgcNBkEeZ_KIVcJDR2OY9FdTn[GLa^VKeOKeKcO;W)[Uj_MX]=)|oGVf1EW?iH5HokCi?k|WXi7XZWbLOmHO:gWDTi_M[Ubo`^3M:o_QBWoO5`3JQjB3MK31:HL1:54h6J7nMi6P244jW`C`2Z8GjWTWMBXcGmiOi^_|b2jMGKeFjKi_Tb^jD:]]]|_TZ33bmU=MVFYm?nl8SN;jM0Q:_EXSbL_UCO|_:O)PFZHEP]cmBbEZ])_GkjkKHZbcmKVajbnG3V;1cDjVPhNAcVnnObIH:jbNKhG1aJR`dGaboE7[UaofCD7lIHSm264Mi`RCQLHPhSe664)hbCQf7f(4iOW]?gbNGH[Xo*UiOXbd_di*Qm)D9OS])G`oCU)7de|_]ZQ;hjYnodon;ATB78FXH**^?eZ0fEZFF5(VP?=8;H)aTbB6n8b)3UV4Fbi1AiT22`G|H1Q[1NoCTPFM*RU*5NU|b5bS0cF`(Z0kc1]9To^bXJOHcLa4aiI1fBOWg2T[Q2C0)0EB:Y)ejVm5Yih;X`li612VSTR0NV?X1Z47DRJT3B:dh:CYZE8:T3B*(DHbMi2jAQBgP9(^iZTkJOToM0l*8D|8HX]`L=D)d68]1lMd`_^8Zj_2YVa9GU|A(6=2m1D`WF1m2BDMF:^fT)jQ9dhdPUG;M6?`g=o5Q6A2N(R15l]7PIQ|[`j`gO2Z=YCYYa()iH=:a(a6O0D1GBbiK9BCMYTF0b6hE8MRf=N1(RUkh1YX|JAB`BKH9ZjXR|HmbPY(|Bll(*ld68FOjHl__346_GfMPS`iL*nBIWc4HaY_cJbfh)OLVFdR|Obo;d]Yk31RU^hX=XjbUXD=AA|eC0MG|OF6I9^]8B`FCFoTBbS8WZ)Y]X=]j9HA^CA7a9c2HV|A`Tk8B14;fkAD0Ob]k5YMS=8c*7Y]|P4;e;BL*mI7Vk*;11110mFnmZ17La]BKUF]|Jjf?I*|(GAQc4XNh0=NFj3MW[R[|Pfmd7MdG:1TP)g(UX06n9^b=URoSNP;|VKH_HJ81TQ`(DoiabefAk`H1Ri`?`XQBMXi_?YT9oDi[F]KLkk[9|6nU^b`je;KVMgn=7YPQMfJ72ma[E)LT:3_F]n?9F=dG)c]o1FaF^|Ui_oGo[KSjbJXbX_(FaM5QiZg6JkekN6[TZaZZ:Ff_|[77?JRn^CBighgnJ1K*UPeE_e^|l43(lCf8FhAn*P4)6:_Nil?ckfMN?FPL3)_Wm`fA]D0?)0dnN]H6N)^MEMOAnm;1i|clDeKLJahRcl[4hUCFfR3OUTo|fEV|Be3`DeKkhmJVD_UZRT9hnNDC5Yem?EN6aI2_NNidJd)T1WCWC5Do8P1hSl4AKmh^Oc1jP;9c|T::A:ZZN^bJefa]BJ)nY:*Pj;nhf^1WI|G[6;jEinOGTik=n`Dbh2En|kmKWO[RKkVM0`6Fhj)IW5abUkHME*6eKIWU0hKHo[CoNc;LY6MlXNYJWFDkOEfmNMgU07lJ_:;k]7X9Xn[KKhW(GC)U=a]?M8_QQbY`Jj`8cM0|0bJ4C=4iTgFgaZ3TOn^o2K?51bkJA)go_m8KEo*LMF:Dk.mmf

    ↬ L'énoncé d'un exercice peut vous imposer des contraintes sur x. C'est le cas avec les exercices types géométrique et économique du chapitre polynôme du second degré.

    img