Matematika

Pertanyaan

Tentukan himpunan penyelesaian
|5x-3|=|4x-21|

2 Jawaban

  • Mapel : Matematika
    Kelas : X SMA
    Bab : Mutlak

    Pembahasan :
    |5x - 3| = |4x - 21|
    (5x - 3)² = (4x - 21)²
    (5x - 3)² - (4x - 21)² = 0
    (5x - 3 + 4x - 21)(5x - 3 - 4x + 21) = 0
    (9x - 24)(x + 18) = 0
    x = 24/9
    x = -18
  • Bab Nilai Mutlak
    Matematika SMA Kelas X

    |5x - 3| = |4x - 21|

    5x - 3 = 4x - 21
    5x - 4x = -21 + 3
    x = -18

    5x - 3 = -4x + 21
    5x + 4x = 21 + 3
    9x =24
    x = 24/9
    x = 8/3

    HP = {-18, 8/3 }

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