Mathématiques

Question

Aidez moi pour l'exercice n°9,n°10 et n°11
Aidez moi pour l'exercice n°9,n°10 et n°11

2 Réponse

  • 9) -3 (3+2 petit 4) / 2² * 5 -14
       = -3 +16 / 4*5 -14
       = 13 / 20 -14
       = 13 / 6
       = 13 / 6 ou 2,2

    11) a)  x= -1
    2*(-1)² -5 * (-1) +3
    = 2 +5 +3
    = 10

    b) 4x - (3x +5)
    = 4x -3x -5
    = x -5

    -7x +6 ( x +2)
    = -7x +6 +x +2
    = -6x +8

    5 - (1 -2x) + (2x +5)
    = 5 -1 +2x +2x +5
    = 4x +9

    c) (1 +3x) (7 +5x)
    = 7 +5x +21x +15x²
    = 7 +26x +15x²

    (-6 +x) (3-x)
    = -18 +6x +3x -x²
    = -18 +9x -x²

    (x +3) (2x -4) -3 ( 4x -1)
    = 2x² -4x +6x -12 -12x +3
    = 2x² -10x -9

    d)  x+7= -2
      x +7 -7= -2 -7
     x= -9

    -x -4= 7
    -x -4 +4= 7+4
    x= 11

    x/-3= 72
    x/-3* 3= 72*3
    x= 216

    2x +1= -4
    2x +1 -1= -4 -1
    2x= -5
    2x/2= -5/2
    x= -5/2 ou -2,5 (cest pareil)

    2 (x -3) = 11
    2x -6= 11
    2x -6 +6= 11 +6
    2x= 17
    2x/2= 17/2
    x= 17/2 ou 8,5 (cest pareil)














  • Bonjour

    9.
    A = 3(3+2^4)  / 2² x 5 - 14
    A = 3(3 + 16) / 4 x 5 - 14
    A = 3(19) / 20 - 14
    A = 3 x 19 / 6
    A = 57 / 6
    A = 19 / 2

    10.
    B = (3 x 10^5 x 4 x (10^-3)^2)) / 16 x 10^-4
    B = (3 x 4)/16   x   (10^5 x (10^-3)^2)/ 10^-4
    B = 12/16    x   10^(5-6+4)
    B = 3/4   x 10^3
    B = 0,75 x 10^3
    B = 7,5 x 10^2


    11.
    a) si x =  -1                l'expression 2² - 5x + 3 donne:
    2(-1)² - 5(-1) + 3 = 2 + 5 + 3 = 10

    b)
    1) 4x - (3x + 5) = 4x - 3x - 5 = x - 5 
    2) -7x + 6(x+2) = -7x +6x + 12 = -x + 12
    3) 5 - (1-2x) + (2x+5) = 5 - 1 + 2x + 2x + 5 = 4x + 9

    c) Développons et réduisons
    1) (1+3x)(7+5x) = 7 + 5x + 21x + 15x² = 15x² + 26x + 7
    2) (-6+x)(3-x) = -18 + 6x + 3x - x² = -x² + 9x - 18
    3) (x+3)(2x-4) - 3(4x-1) = (2x² - 4x + 6x - 12) - (12x - 3)
    = 2x² - 4x + 6x - 12 - 12x + 3 = 2x² - 10x - 9

    d)
    x+7 = -2
        x = -7-2
        x = -9

    S = {-9}

    -x-4 = 7
        -x = 7 + 4
        -x = 11
         x = -11

    x/-3 = 72
        x = (-3) x 72
        x = -216


    2x+1 = -4
         2x = -4-1
           x = -5/2

    2(x-3) = 11
      2x-6 = 11
          2x = 11 + 6
            x = 17/2