Matematika

Pertanyaan

|2x-5|=3 cara menyelesaikan persamaan nilai mutlak

2 Jawaban

  • |2x - 5| = 3
    → (2x-5)² = 3²
    → (2x-5)² - 3² = 0
    → (2x-5+3) (2x-5-3) = 0
    → ( 2x-2) (2x-8) = 0
    Maka
    2x - 2 = 0 atau 2x - 8 = 0
    2x = 2 ←→ 2x = 8
    x = 2/2 ←→ x = 8/2
    x = 1 ←→ x = 4
    HP { 1 , 4}

    Semoga membantu :)
  • |2x-5|=3

    (i)
    2x - 5 = 3
    2x = 3 + 5
    2x = 8
      x = 8/2
      x = 4

    (ii)
    2x - 5 = -3
    2x = -3 + 5
    2x = 2
      x = 2/2
      x = 1

    Jadi HP : {1 , 4}

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