Il faut résoudre ces équations Pouvez vous me répondre rapidement ? Merci

bonjour

a)  5 x - 5 + 8 x + 6 = 7 x

5 x + 8 x - 7 x = 5 - 6

6 x = - 1

x = - 1/6

b ) - 4 x + 4  - 6 x + 10 = 0

- 10 x = - 4 - 10

- 10 x = - 14

x = 14/10 = 1.4

e) x² - 180 = 0

x² = 180

x = √180 ou - √180

d) x² = 49

x = √49 ou - √49

x = 7 ou ( - 7)

c)  3 x²  - 15 x + 1  = 3  ( - 5 x + x² + 10 - 2 x )

3 x² - 15 x + 1 =  - 15 x + 3 x² + 30 - 6 x

3 x² - 3 x² - 15 x + 15 x + 6 x  = - 1 + 30

6 x = 29

x = 29/6

h ) ( 4 x - 8 ) ( 3 x - 1 )  = 0

soit  4 x - 8 = 0 et  x =  8/4 = 2

soit  3 x - 1 = 0  et x =  1/3

Réponse :

Explications étape par étape

Bonjour

Résoudre les équations :

5(x - 1) + 2(4x + 3) = 7x

5x - 5 + 8x + 6 = 7x

13x - 7x = -6 + 5

6x = -1

x = -1/6

4(-x + 1) - 2(3x - 5) = 0

-4x + 4 - 6x + 10 = 0

-10x + 14 = 0

10x = 14

x = 14/10

x = 1,4

3x^2 - 15x + 1 = 3(x - 2)(-5 + x)

3x^2 - 15x + 1 = 3(-5x + x^2 + 10 - 2x)

3x^2 - 15x + 1 = -15x + 3x^2 + 30 - 6x

3x^2 - 3x^2 - 15x + 15x + 6x = 30 - 1

6x = 29

x = 29/6

x^2 = 49

x^2 - 49 = 0

x^2 - 7^2 = 0

(x - 7)(x + 7) = 0

x - 7 = 0 ou x + 7 = 0

x = 7 ou x = -7

x^2 - 180 = 0

x^2 - (2^2 x 3^2 x 5) = 0

x^2 - (6^2 x 5) = 0

x^2 - 6^2 x (V5)^2 = 0

(x - 6V5)(x + 6V5) = 0

x - 6V5 = 0 ou x + 6V5 = 0

x = 6V5 ou x = -6V5

(x + 2)^2 = 1/4

(x + 2)^2 - 1/4 = 0

(x + 2)^2 - (1/2)^2 = 0

(x + 2 - 1/2)(x + 2 + 1/2) = 0

(x + 4/2 - 1/2)(x + 4/2 + 1/2) = 0

(x + 3/2)(x + 5/2) = 0

x + 3/2 = 0 ou x + 5/2 = 0

x = -3/2 ou x = -5/2

(-4x + 5)(9x + 13) = 0

-4x + 5 = 0 ou 9x + 13 = 0

4x = 5 ou 9x = -13

x = 5/4 ou x = -13/9

(4x - 8)(3x - 1) = 0

4x - 8 = 0 ou 3x - 1 = 0

4x = 8 ou 3x = 1

x = 8/4 ou x = 1/3

x = 2 ou x = 1/3