Bonjour vous pouvez m’aider s’il vous plaît à résoudre ses équations

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