Mathématiques

Question

4x²-1 =2x-1
(5x+12) (5-2x)+(5x+12)(3x-3) = 0
4x²+12x+9=0
x²-36=0
x²-2x=-1

1 Réponse

  • 4x² - 1 = 2x - 1 
    4x² - 2x = 0
    x = 0

    (5x+12)(5-2x) + (5x+12)(3x-3) = 0
    (5x+12)(5-2x+3x-3) = 0
    (5x+12)(x+2) = 0
    5x+12 = 0
    5x = - 12
    x = -12/5
    x+2 = 0
    x = -2
    (5x+12)(5-2x) + (5x+12)(3x-3) = 0 pour x= -2 ou x = -12/5

    4x²+12x+9=0
    (2x+3)² = 0
    2x + 3 = 0
    2x = -3 
    x = -3/2
    4x²+12x+9=0 pour x = -3/2

    x²-36 = 0
    (x - 6)(x+6) = 0
    x - 6 = 0
    x = 6
    x + 6 = 0
    x = -6
    x²-36 = 0 pour x = 6 ou x = -6

    x² - 2x = -1
    x² - 2x + 1 = 0
    (x - 1)² = 0
    x - 1 = 0 
    x = 1
    x² - 2x = -1 pour x = 1

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