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Aminekiller
@Aminekiller
April 2019
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{{Exo rapide!!}}
On donne E=(2x-1)(x+8)+(x+8)au carré
1) Développer et réduire
2) Factoriser E
3) Résoudre l'équation (x+8)(3x+7)=0
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nonotata
E=(2x-1)(x+8)+(x+8)²
e = 2x²+16x-x-8 +x²+16x+64
e = 3x² +31x +56
factoriser
E=(2x-1)(x+8)+(x+8)²
e =(x+8)(2x-1+x+8)
e =(x+8)(3x+7)
resoudre
x+8 =0 3x+7 =0
x = -8 3x = -7
x = -7/3
1 votes
Thanks 1
Commentaires
E = (2x - 1)(x + 8) + (x + 8)²
1) Développer et réduire.
E= (2x - 1)(x + 8) + (x + 8)²
E= 2x² + 16x - x - 8 + x² + 16x + 64
E= 3x² + 31x + 56
2) Factoriser E.
E= (2x - 1)(x + 8) + (x + 8)²
E= (x + 8)(2x - 1 + x + 8)
E= (x + 8)(3x + 7)
3) Résoudre l'équation (x + 8)(3x + 7) = 0
(x + 8)(3x + 7) = 0
Un produit est nul si un de ses facteur est nul.
x + 8 = 0 ou 3x + 7 = 0
x = - 8
ou 3x = - 7
ou
x = - 7/3
0 votes
Thanks 1
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e = 2x²+16x-x-8 +x²+16x+64
e = 3x² +31x +56
factoriser
E=(2x-1)(x+8)+(x+8)²
e =(x+8)(2x-1+x+8)
e =(x+8)(3x+7)
resoudre
x+8 =0 3x+7 =0
x = -8 3x = -7
x = -7/3
1) Développer et réduire.
E= (2x - 1)(x + 8) + (x + 8)²
E= 2x² + 16x - x - 8 + x² + 16x + 64
E= 3x² + 31x + 56
2) Factoriser E.
E= (2x - 1)(x + 8) + (x + 8)²
E= (x + 8)(2x - 1 + x + 8)
E= (x + 8)(3x + 7)
3) Résoudre l'équation (x + 8)(3x + 7) = 0
(x + 8)(3x + 7) = 0
Un produit est nul si un de ses facteur est nul.
x + 8 = 0 ou 3x + 7 = 0
x = - 8 ou 3x = - 7
ou x = - 7/3