Mathématiques

Question

resoudre 36-(x-6)²=0  et (10-x)(x-2)=0

developper et réduire (10-x)(x-2)

1 Réponse

  • 36 - (x - 6)² = 0

    Cas 1.
    6 = x - 6
    x - 6 = 6
    x = 6 + 6
    x = 12

    Cas 2.
    6 = - (x - 6)
    6 = - x + 6
    x = 6 - 6
    x = 0

    S= {0 ; 12}
    _____________________________________
    (10 - x)(x - 2) = 0
    10 - x = 0 ou x - 2 = 0
    10 = x ou x = 2

    S= {2 ; 10}
    ______________________________________
    (10 - x)(x - 2)
    = 10x - 20 - x² + 2x
    = - x² + 12x - 20

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