Matematika

Pertanyaan

| 2x - 1 | = | 4x - 3 |

2 Jawaban

  • Bab Nilai Mutlak 
    Matematika SMA Kelas X

    |2x - 1| = |4x - 3|

    2x - 1 = 4x - 3
    2x - 4x = -3 + 1
    -2x = - 2
    x = 1

    2x - 1 = - 4x + 3
    2x + 4x = 3 + 1
    6x = 4
    x = 4/6
    x = 2/3

    HP = { 1, 2/3 }
  • Mapel : Matematika
    Kelas : X SMA
    Materi : Persamaan Nilai Mutlak

    Pembahasan :
    |2x - 1| = |4x - 3|
    (4x - 3)² = (2x - 1)²
    (4x - 3)² - (2x - 1)² = 0
    (4x - 3 + 2x - 1)(4x - 3 - 2x + 1) = 0
    (6x - 4)(2x - 2) = 0
    x = 2/3
    x = 1

    Hp : {2/3 , 1}

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