Réponse :
Explications étape par étape
Bonjour
3x^2 - 4x = 0
x(3x - 4) = 0
x = 0 ou 3x - 4 = 0
x = 0 ou 3x = 4
x = 0 ou x = 4/3
x^2 - 4x - 4 = -8
x^2 - 4x - 4 + 8 = 0
x^2 - 2 * x * 2 + 2^2 = 0
(x - 2)^2 = 0
x - 2 = 0
x = 2
(x - 1)^2 = 3
(x - 1)^2 - 3 = 0
(x - 1 - V3)(x - 1 + V3) = 0
x - 1 - V3 = 0 ou x - 1 + V3 = 0
x = 1 + V3 ou x = 1 - V3
(2x - 1)^2 = (x - 2)^2
(2x - 1)^2 - (x - 2)^2 = 0
(2x - 1 - x + 2)(2x - 1 + x - 2) = 0
(x + 1)(3x - 3) = 0
(x + 1) * 3(x - 1) = 0
3(x + 1)(x - 1) = 0
x + 1 = 0 ou x - 1 = 0
x = -1 ou x = 1
(5x - 1)^2 - 4 = 5
(5x - 1)^2 - 4 - 5 = 0
(5x - 1)^2 - 9 = 0
(5x - 1)^2 - 3^2 = 0
(5x - 1 - 3)(5x - 1 + 3) = 0
(5x - 4)(5x + 2) = 0
5x - 4 = 0 ou 5x + 2 = 0
5x = 4 ou 5x = -2
x = 4/5 ou x = -2/5
