Réponse :
Explications étape par étape
Bonsoir
Résoudre :
6x - 8 + 7x(3x - 4) = 0
2(3x - 4) + 7x(3x - 4) = 0
(3x - 4)(2 + 7x) = 0
3x - 4 = 0 ou 2 + 7x = 0
3x = 4 ou 7x = -2
x = 4/3 ou x = -2/7
(5x - 3)^2 - 4 = 5
(5x - 3)^2 - 4 - 5 = 0
(5x - 3)^2 - 9 = 0
(5x - 3)^2 - 3^2 = 0
(5x - 3 - 3)(5x - 3 + 3) = 0
(5x - 6)(5x) = 0
5x(5x - 6) = 0
5x = 0 ou 5x - 6 = 0
x = 0 ou 5x = 6
x = 0 ou x = 6/5
(3x - 5)^2 + 2(3x - 5)(x + 1) = -(x + 1)^2
(3x - 5)^2 + 2(3x - 5)(x + 1) + (x + 1)^2 = 0
(3x - 5)(3x - 5 + 2(x + 1)) + (x + 1)^2 = 0
(3x - 5)(3x - 5 + 2x + 2) + (x + 1)^2 = 0
(3x - 5)(5x - 3) + (x + 1)^2 = 0
15x^2 - 9x - 25x + 15 + x^2 + 2x + 1 = 0
16x^2 - 32x + 16 = 0
16(x^2 - 2x + 1) = 0
16(x - 1)^2 = 0
x - 1 = 0
x = 1
(x - 1)/3 + (x + 3)/2 = (x + 5)/6
2(x - 1)/6 + 3(x + 3)/6 - (x + 5)/6 = 0
2x - 2 + 3x + 9 - x - 5 = 0
4x + 2 = 0
4x = -2
x = -2/4
x = -1/2
5x + 3 = 2x + 6
5x - 2x = 6 - 3
3x = 3
x = 3/3
x = 1
(4x - 3)(2x + 1) = 0
4x - 3 = 0 ou 2x + 1 = 0
4x = 3 ou 2x = -1
x = 3/4 ou x = -1/2
