Résoudres les équations: a) 3(2-3x)-(4+5x) =0 b)2(3x-1)+(5-x) (3x-1)=0 c)x aucarré-4x+4=0 d)4xaucarré=64

Bonjour,

résoudre les équations:

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

6 - 9x - 4 - 5x = 0

2 - 14x = 0

2 - 14x + 14x = 0 + 14x

2 = 14x

14x/14 = 2/14

x = 1/7

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

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

(3x - 1)(7 - x) = 0

3x - 1 = 0 ou 7 - x = 0

3x = 1 ou x = 7

x = 1/3 ou x = 7

c)x^2-4x+4=0

x^2 - 2 * x * 2 + 2^2 = 0

(x - 2)^2 = 0

x - 2 = 0

x = 2

d)4x^2=64

4x^2 - 64 = 0

(2x)^2 - 8^2 = 0

(2x - 8)(2x + 8) = 0

2x - 8 = 0 ou 2x + 8 = 0

2x = 8 ou 2x = -8

x = 8/2 ou x = -8/2

x = 4 ou x = -4