Réponse :

Explications étape par étape

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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