Matematika

Pertanyaan

Himpunan penyelesaian yang memenuhi |3x+2|kuadrat + |3x+2|-2=0 adalah

1 Jawaban

  • |3x+2|² + |3x+2| - 2 = 0
    (|3x+2| + 2)(|3x+2| - 1) = 0
    |3x+2| + 2 = 0
    |3x+2| = -2
    3x + 2 = -2
    3x = -2 - 2
    3x = -4
    x = -4/3
    3x + 2 = 2
    3x = 2-2
    3x = 0
    x = 0
    |3x + 2| - 1 = 0
    |3x + 2| = 1
    3x + 2 = 1
    3x = 1 - 2
    3x = -1
    x = -⅓
    3x + 2 = - 1
    3x = -1 - 2
    3x = -3
    x = -3/3
    x = -1
    hp {-4/3, 0, -⅓, -1}

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