Matematika

Pertanyaan

|x-2|=|x+3|
menggunakan cara sifat" nilai mutlak

2 Jawaban

  • Nilai Mutlak

    Sifat mutlak
    |x|² = (x)²

    Maka
    |x - 2| = |x + 3|
    (x -2)² = (x + 3)²
    (x-2)² - (x + 3)² = 0
    (x - 2 + (x+3))(x -2 -(x+3)) = 0
    (2x + 1)(1) = 0
    2x + 1 = 0

    x = -1/2
  • |x - 2| = |x + 3|
    (x - 2)² = (x + 3)²
    x² - 4x + 4 = x² + 6x + 9
    10x = -5
    x = -1/2

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