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INEQUATION

Bonsoir,

Résoudre:

  • (2x+3)(5x-1)- (2x+3)(x+6)= 0

(2x+3)(5x-1-x-6)= 0  

(2x+3)(4x-7)= 0

x= -3/2 ou x= 7/4

S= { -3/2; 7/4 }

  • (x+6)(x+2) - (2x-1)(x+6)= 0

(x+6)(x+2-2x+1)= 0

(x+6)(-x+3)= 0

x+6= 0  ou   -x+3= 0

x= -6              -x= -3

                       x= 3

S= { -6; 3 }

  • (2x-7)(x+2) - (x+2)(x+2)= 0

(x+2)(2x-7-x - 2)= 0

(x+2)(x-9)= 0

x= -2  ou  x= 9

S= { -2; 9 }

  • (2x-3)(x+9)- (2x-3)(2x-3)= 0

(2x-3)(x+9-2x + 3)= 0

(2x-3)(-x+12)= 0

x= 3/2  ou  -x= -12

                     x= 12

S= { 3/2; 12 }

CHRYSTINE

bonsoir

(2x+3)(5x-1)=(2x+3)(x+6)

10x²-2x+15x-3=2x²+12x+3x+18

10x²-2x²-2x-12x-3x+15x=18+3

8x²-2x=21

8x²-2x-21=0

(2x+3)(4x-7)=0

2x+3=0 ou 4x-7=0

x=-3/2  ou x=7/4

(x+6)(x+2)=(2x-1)(x+6)

x²+2x+6x+12=2x²+12x-x-6

x²-2x²+2x+6x-12x+x=-12-6

x²-3x=-18

x²-3x+18=0

(x+6)(x-3)=0

x+6=0  ou x-3=0

x=-6  ou x=3

(2x-7)(x+2)=(x+2)²

2x²+4x-7x-14=x²+4x+4

2x²-x²+4x-7x-4x=+4+14

x²-7x=18

x²-7x-18=0

(x+2)(x-9)=0

x+2=0 ou x-9=0

x=-2  ou x=9

(2x-3)(x+9)=(2x-3)²

2x²+18x-3x-27=4x²-12x+9

2x²-4x²+18x-3x+12x=9+27

-2x²+27x=36

-2x²+27x-36=0

(2x-3)(x-12)=0

2x-3=0  ou x-12=0

x=3/2  ou x=12

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