Mathématiques

Question

Bonjour, pouvez-vous m'aider, je n'arrive pas à faire cet exercice, SVP

* 2x (3x+2)(3x - 1) = 0

* (3x - 1) + (7 - x) = 0

* (8 + 3x) - (x + 3) = 0

* 6(y + 3) - 2(y - 1) = 0

1 Réponse

  • 2x (3x+2)(3x - 1) = 0
    <=> 2x = 0 OU 3x+2 = 0 OU 3x-1 = 0
    <=> x = 0
    OU 3x = -2 OU 3x = 1
    <=> x = 0 
    OU x = -2/3 OU x = 1/3

    S={0; -2/3; 1/3}

    (3x - 1) + (7 - x) = 0
    <=> 2x + 6 = 0
    <=> 2x = -6
    <=> x = -3

    S={-3}

    (8 + 3x) - (x + 3) = 0
    <=> 8 + 3x - x - 3 = 0
    <=> 2x + 5 = 0
    <=> 2x = -5
    <=> x = -5/2

    S={-5/2}

    6(y + 3) - 2(y - 1) = 0
    <=> 6y + 18 - 2y + 2 = 0
    <=> 4y = 20
    <=> y = 20/4
    <=> y = 5

    S={5}








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