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1 Réponse
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1. Réponse loulakar
Réponse :
Explications étape par étape
Bonsoir
0,6x + (-2 + x)/20 = -(2x - 1)/2 + (x + 3)/4
12x - 2 + x = -10(2x - 1) + 5(x + 3)
13x - 2 = -20x + 10 + 5x + 15
13x + 15x = 25 + 2
28x = 27
x = 27/28
9 + (5x + 1)(-6 + 2x) = x^2
9 - 30x + 10x^2 - 6 + 2x = x^2
10x^2 - x^2 - 28x + 3 = 0
9x^2 - 28x + 3 = 0
(3x)^2 - 2 * 3x * 14/3 + (14/3)^2 - (14/3)^2 + 3 = 0
(3x - 14/3)^2 - 196/9 + 27/9 = 0
(3x - 14/3)^2 - 169/9 = 0
(3x - 14/3 - 13/3)(3x - 14/3 + 13/3) = 0
(3x - 27/3)(3x - 1/3) = 0
3x = 27/3 ou 3x = 1/3
x = 27/9 ou x = 1/9
x = 3 ou x = 1/9
(2x + 4)^2 - (2 - 2x)(4 + 2x) = - (1 - x)^2
(2x + 4)(2x + 4 - 2 + 2x) = - (1 - x)^2
(2x + 4)(4x + 2) = - (1 - x)^2
2(x + 2) * 2(2x + 1) = - (1 - x)^2
4(x + 2)(2x + 1) + (1 - x)^2 = 0
4(2x^2 + x + 4x + 2) + 1 - 2x + x^2 = 0
8x^2 + 20x + 8 + 1 - 2x + x^2 = 0
9x^2 + 18x + 9 = 0
9(x^2 + 2x + 1) = 0
x^2 + 2x + 1 = 0
(x + 1)^2 = 0
x + 1 = 0
x = -1