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Sagot :

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

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