Matematika

Pertanyaan

Himpunan penyelesaian |x-2| = 2x+6

1 Jawaban

  • |x - 2| = 2x + 6
    [√(x + 2)²]² = (2x + 6)²
    (x + 2)² - (2x + 6)² = 0
    [(x + 2) + (2x + 6)] [(x + 2) - (2x + 6)] = 0
    (3x + 8) (-x - 6) = 0
    3x + 8 = 0
    3x = -8
    x = -8/3
    -x - 6 = 0
    -x = 6
    x = -6
    himpunan penyelesaian = {-6 , -8/3}

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