Matematika

Pertanyaan

nilai x yang memenuhi persamaan |3x-2|
- |x-3| = 4 - |x+2| adalah.....

1 Jawaban

  • |3x-2| - |x-3| = 4 - |x+2|, utk x > 2/3
    3x - 2 - x + 3 = 4 - x - 2
    3x - x + x - 2 + 3 - 4 + 2 = 0
    3x - 1 = 0
    3x = 1
    x = 1/3

    -3x + 2 - x + 3 = 4 - x - 2, utk x < 2/3
    -3x - x + x + 2 + 3 - 4 + 2 = 0
    -3x + 3 = 0
    -3x = -3
    x = 1

    HP : { x = 1/3, x = 1}

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