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Elofcn
@Elofcn
April 2019
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J'aurais besoin d'aide. Pouvez-vous m'aidez a résoudre cette équation en faisant apparaitre chaque étape svp!
(x+7)²=144
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Verified answer
(x+7)² = 144
(x+7)²-144 = 0
= a²-b² qu'on facto (a-b)(a+b) = 0
(x+7-12)(x+7+12) = 0
(x-5)(x+19) = 0
x-5 = 0
x = 5
x+19 = 0
x = -19
S {5;-19}
1 votes
Thanks 2
Elofcn
Pourquoi utiliser le produit nul?
Elofcn
Merci beaucoup pour votre aide
maudmarine
(x + 7)² = 144
(x + 7)² = 12²
x + 7 = 12 ou x + 7 = - 12
x = 12 - 7 ou x = - 7 - 12
x = 5 ou x = - 19
0 votes
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Verified answer
(x+7)² = 144(x+7)²-144 = 0
= a²-b² qu'on facto (a-b)(a+b) = 0
(x+7-12)(x+7+12) = 0
(x-5)(x+19) = 0
x-5 = 0
x = 5
x+19 = 0
x = -19
S {5;-19}
(x + 7)² = 12²
x + 7 = 12 ou x + 7 = - 12
x = 12 - 7 ou x = - 7 - 12
x = 5 ou x = - 19