Bonsoir
Résoudre les équations :
1 + 5x = -29
5x = -29 - 1
5x = -30
x = -30/5
x = -6
9 - y = -2,3
9 + 2,3 = y
y = 11,3
2x + 3 = 6x + 11
3 - 11 = 6x - 2x
-8 = 4x
x = -8/4
x = -2
-3(1 + 2x) = 7(x - 5)
-3 - 6x = 7x - 35
-3 + 35 = 7x + 6x
32 = 13x
x = 32/13
(2x + 3)/5 = (3x - 1)/4
4(2x + 3) = 5(3x - 1)
8x + 12 = 15x - 5
12 + 5 = 15x - 8x
17 = 7x
x = 17/7
Résoudre l’équation produit :
(3 - 4x)(x + 6) = 0
3 - 4x = 0 ou x + 6 = 0
3 = 4x ou x = -6
x = 3/4 ou x = -6
Factoriser puis résoudre :
(3x - 1)(5 - 2x) + (4x + 7)(3x - 1) = 0
(3x - 1)(5 - 2x + 4x + 7) = 0
(3x - 1)(2x + 2) = 0
(3x - 1) * 2(x + 1) = 0
2(3x - 1)(x + 1) = 0
3x - 1 = 0 ou x + 1 = 0
3x = 1 ou x = -1
x = 1/3 ou x = -1
Résoudre :
36x^2 = 81
36x^2 - 81 = 0
(6x)^2 - 9^2 = 0
(6x - 9)(6x + 9) = 0
3(2x - 3) * 3(2x + 3) = 0
9(2x - 3)(2x + 3) = 0
2x - 3 = 0 ou 2x + 3 = 0
2x = 3 ou 2x = -3
x = 3/2 ou x = -3/2
x^2 = 15
x^2 - 15 = 0
x^2 - (V15)^2 = 0
(x - V15)(x + V15) = 0
x - V15 = 0 ou x + V15 = 0
x = V15 ou x = -V15
