Matematika

Pertanyaan

Himpunan penyelesaian dari |2x-4|^2+4|2x-4|=12 adalah

1 Jawaban

  • |2x-4|² + 4|2x-4| - 12 = 0
    (|2x-4| - 2)(|2x-4| + 6) = 0
    |2x-4| - 2 = 0 dan |2x-4| + 6 = 0
    |2x-4| - 2 = 0
    |2x-4| = 2
    2x - 4 = 2
    2x = 6
    x = 3
    atau
    2x - 4 = -2
    2x = 2
    x = 1
    |2x - 4| + 6 = 0
    |2x - 4| = -6
    2x - 4 = -6
    2x = -2
    x = -1
    2x - 4 = 6
    2x = 10
    x = 5
    hp {-1, 1, 3, 5}

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