svp c pour demain il y a deux exo exo1 Resoudre les equation suivantes a.(x-2)(2x-1)+(x-2)(3x-4)=0 b.(3x-2)(5x-1)-(3x-2)(3x+4)=0 c.(2x-1)² -(x-5)(2x-1)=0 exo2 O

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

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

c) (2x-1)²-(x-5)(2x-1) = 0
    (2x-1) (2x-1-x-5) = 0
    (2x-1) (x-6) = 0
2x-1 = 0             x-6 = 0
2x = 1                x = 6
X = 1/2

exercice 2:

a) (3x-1)(x+2) - 3(3x+1)
   = 3x²-2x+5

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

c) A=-1

(3x+1) (x+1) = -1

3x+1 = -1          x+1 = -1
3x = -1-1           x = -1-1
3x= -2               x = -2
x = -2/3

d) A= 0

(3x+1) (x+1) = 0

3x+1 = 0                 x+1 = 0
3x = -1                    x = -1
x = -1/3