Réponse :
Explications étape par étape
Bonjour
Résoudre :
3(x - 7) - 2(x + 1) = x - 3
3x - 21 - 2x - 2 = x - 3
x - x = 21 + 2 - 3
0 = 20
Pas de solution
x(x - 5) = (x - 2)(x - 3)
x^2 - 5x = x^2 - 3x - 2x + 6
x^2 - x^2 - 5x + 5x = 6
0 = 6
Pas de solution
x(x^2 + x + 1) - x^2(x + 1 + 1/x) = 0
x^3 + x^2 + x - x^3 - x^2 - x = 0
0 = 0
Vraie quelque soit x
(x - 3)(x + 7) = x^2 + 4x - 21
x^2 + 7x - 3x - 21 = x^2 + 4x - 21
x^2 - x^2 + 4x - 4x = 21 - 21
0 = 0
Vraie quelque soit x
(x - 1)/3 - (x + 1)/6 = (3x - 1)/9
6(x - 1)/18 - 3(x + 1)/18 = 2(3x - 1)/18
6x - 6 - 3x - 3 = 6x - 2
3x - 9 = 6x - 2
-9 + 2 = 6x - 3x
-7 = 3x
x = -7/3
x + x/2 + x/3 + x/4 = 0
12x/12 + 6x/12 + 4x/12 + 3x/12 = 0
25x/12 = 0
x = 0
x/2 - 1/3(x + 3/4) = x - 3
x/2 - x/3 - 1/4 = x - 3
6x/12 - 4x/12 - 3/12 = x - 3
2x - 3 = 12(x - 3)
2x - 3 = 12x - 36
36 - 3 = 12x - 2x
33 = 10x
x = 33/10
x/3 - (x - 1)/4 = x/12 + 1/4
4x/12 - 3(x - 1)/12 = x/12 + 3/12
4x - 3x + 3 = x + 3
x - x = 3 - 3
0 = 0
Vraie quelque soit x
