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Sagot :

Réponse :

Explications étape par étape

Bonsoir

Résoudre :

(x + 4)(-2x + 1) = 0

x + 4 = 0 ou -2x + 1 = 0

x = -4 ou 2x = 1

x = -4 ou x = 1/2

2) factoriser puis résoudre :

(x + 1)(2x - 3) - 4x(x + 1) = 0

(x + 1)(2x - 3 - 4x) = 0

(x + 1)(-2x - 3) = 0

x + 1 = 0 ou -2x - 3 = 0

x = -1 ou 2x = -3

x = -1 ou x = -3/2

(2x + 7)^2 = (x - 6)(2x + 7)

(2x + 7)^2 - (x - 6)(2x + 7) = 0

(2x + 7)(2x + 7 - x + 6) = 0

(2x + 7)(x + 13) = 0

2x + 7 = 0 ou x + 13 = 0

2x = -7 ou x = -13

x = -7/2 ou x = -13

(5x + 1)^2 - 9 = 0

(5x + 1)^2 - 3^2 = 0

(5x + 1 - 3)(5x + 1 + 3) = 0

(5x - 2)(5x + 4) = 0

5x - 2 = 0 ou 5x + 4 = 0

5x = 2 ou 5x = -4

x = 2/5 ou x = -4/5

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