Réponse :
Explications étape par étape
Bonjour
Résoudre les équations :
5(x - 1) + 2(4x + 3) = 7x
5x - 5 + 8x + 6 = 7x
13x - 7x = -6 + 5
6x = -1
x = -1/6
4(-x + 1) - 2(3x - 5) = 0
-4x + 4 - 6x + 10 = 0
-10x + 14 = 0
10x = 14
x = 14/10
x = 1,4
3x^2 - 15x + 1 = 3(x - 2)(-5 + x)
3x^2 - 15x + 1 = 3(-5x + x^2 + 10 - 2x)
3x^2 - 15x + 1 = -15x + 3x^2 + 30 - 6x
3x^2 - 3x^2 - 15x + 15x + 6x = 30 - 1
6x = 29
x = 29/6
x^2 = 49
x^2 - 49 = 0
x^2 - 7^2 = 0
(x - 7)(x + 7) = 0
x - 7 = 0 ou x + 7 = 0
x = 7 ou x = -7
x^2 - 180 = 0
x^2 - (2^2 x 3^2 x 5) = 0
x^2 - (6^2 x 5) = 0
x^2 - 6^2 x (V5)^2 = 0
(x - 6V5)(x + 6V5) = 0
x - 6V5 = 0 ou x + 6V5 = 0
x = 6V5 ou x = -6V5
(x + 2)^2 = 1/4
(x + 2)^2 - 1/4 = 0
(x + 2)^2 - (1/2)^2 = 0
(x + 2 - 1/2)(x + 2 + 1/2) = 0
(x + 4/2 - 1/2)(x + 4/2 + 1/2) = 0
(x + 3/2)(x + 5/2) = 0
x + 3/2 = 0 ou x + 5/2 = 0
x = -3/2 ou x = -5/2
(-4x + 5)(9x + 13) = 0
-4x + 5 = 0 ou 9x + 13 = 0
4x = 5 ou 9x = -13
x = 5/4 ou x = -13/9
(4x - 8)(3x - 1) = 0
4x - 8 = 0 ou 3x - 1 = 0
4x = 8 ou 3x = 1
x = 8/4 ou x = 1/3
x = 2 ou x = 1/3
