Mathématiques

Question

Résoudre les équations suivantes: 1. 2x + 3=0

2.xsur6 + 5=0

3.-4x + 15= 8x

4.8x+9=5x-6

5. 5(x+9) = 50

6. 2xsur3 + 2= -3

7. 7(x+9) = 3(x-2)

2 Réponse

  • 1.

     

    2x+3=0

    2x=-3

    x=-3/2

    x=-1.5

     

    2.

     

    x/6+5=0

    x/6+30/6=0

    x+30=0

    x=-30

     

    3.

     

    -4x+15=8x

    -4x-8x=-15

    -12x=-15

    x=15/12

     

    4.

     

    8x+9=5x-6

    8x-5x=-6-9

    3x=-15

    x=-15/3

    x=-5

     

    5.

     

    5(x+9)=50

    5*x+5*9=50

    5x+45=50

    5x=50-45

    5x=5

    x=5/5

    x=1

     

    6.

     

    2x/3+2=-3

    2x/3+6/3=-9/3

    2x+6=-9

    2x=-9-6

    2x=-15

    x=-15/2

    x=-7.5

     

    7.

     

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

    7*x+7*9=3*x+3*(-2)

    7x+63=3x-6

    7x-3x=-6-63

    4x=-69

    x=-69/4

    x=-17.25

     

     

  • 1) 2x + 3 = 0

    2x = -3

    x = -3/2 ( équivalent à 1,5 )

     

    2) x/6 + 5 = 0

    x/6 + 5x6/1x6 = 0

    x/6 + 30/6 = 0

    x + 30 = 0

    x = -30

     

    3) -4x +15 = 8x

    15 = 8x + 4x

    15 = 12x

    15/12 = x

    x = 5/4

     

    4) 8x + 9 = 5x - 6

    8x - 5x = -6 -9

    3x = -15

    x = -15/3

    x = -5

     

    5) 5(x+9) = 50

    5x + 45 = 50

    5x = 50 - 45

    5x = 5

    x = 5/5

    x = 1

     

    6) 2x/3 +2 = -3

    2x/3 +2x3/1x3 = -3x3/1x3

    2x +6 = -9

    2x = -9 -6

    2x = -15

    x = -15/2

     

    7) 7(x+9) = 3(x-2)

    7x +63 = 3x -6

    7x -3x = -6 -63

    4x = -69

    x = -69/4

     

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