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Snitedughetto
@Snitedughetto
May 2019
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Bonjour, j'ai du mal à resoudre cette equation :
(6-10x)(8-5x)=100x^2-36
Merci d'avancee !!!!
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(6-10x)(8-5x)= 100x
²
- 36
(6-10x)(8-5x) = (10x)² - 6²
(6-10x)(8-5x) = (10x-6) (10x+6)
(10x-6)(10x+6) - (6-10x)(8-5x) =0
(10x-6)(10x+6) + (10x-6)(8-5x) =0
(10x-6) (10x+6+8-5x)=0
(10x-6) (5x+14)=0
10x-6=0 ou 5x+14=0
x= 6\10 = 3\5 ou x=-14\5
s={3\5 , -14\5}
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(6-10x)(8-5x) = (10x)² - 6²
(6-10x)(8-5x) = (10x-6) (10x+6)
(10x-6)(10x+6) - (6-10x)(8-5x) =0
(10x-6)(10x+6) + (10x-6)(8-5x) =0
(10x-6) (10x+6+8-5x)=0
(10x-6) (5x+14)=0
10x-6=0 ou 5x+14=0
x= 6\10 = 3\5 ou x=-14\5
s={3\5 , -14\5}