Mathématiques

Question

Résoudre les équations:
a)3(x+2)+(x-2)=0
b)(x+1)(5+2x)=2xaucarré-3
c)3(2-3x)-(4+5x)=0
d)3(x+4)=4(-8+x)

2 Réponse

  • a)3(x+2)+(x-2)=0
    3x+6+x-2 =0
    4x = -6+2   =>   x =-4/4         =>  x = - 1

    b)  (x+1)(5+2x)=2x²- 3
    2x²+7x+5 = 2x²- 3
    2x²+7x+5 -2x²+3 =0
    7x = - 8
    x = - 8/7

    c)  3(2-3x)-(4+5x)=0
    6- 9x -4 - 5x =0
    -14x = 4-6 =-2
    x = 2/14
    x = 1/7

    d)  3(x+4)=4(-8+x)

    3x +12 = -32 +4x
    3x-4x = -32-12
    -x = -44
    x = 44


  • 3(x + 2)+(x-2) = 0
    3x +6 +x-2 
    3x +x = -6 +2                                                                                                 4x = -6+2  
    4x = -4
    x = -4/4 = -1


    (x+1)(5+2x) = 2x² -3
    +5x +2x² +5 +2x = 2x² -3
    2x² +7x +5 -2x² -3 = 0
    2x²+7x+5 = 2x²- 3
    2x²+7x+5 -2x²+3 =0
    7x = - 8
    x = -8/7

    3(2-3x)-(4+5x) = 0
    6- 9x -4 - 5x = 0
    -14x = -2
    x = 2/14 = 1/7

    3(x+4)= 4 (-8+x)
    3x +12 = -32 +4x
    3x-4x = -32-12
    -x = -44
    x = 44

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