Matematika

Pertanyaan

1. |2x+3| =149
2. |2x-5| =3x+9
Bantu jawab ya materi nilai mutlak kelas 10 sma

2 Jawaban

  • Mapel : Matematika
    Kelas : X SMA
    Bab : Mutlak

    Pembahasan :
    |2x + 3| = 149
    (2x + 3)² = 149²
    (2x + 3)² - 149² = 0
    (2x + 152)(2x - 146) = 0
    x = -76
    x = 73

    Hp : {-76 , 73}

    ————————————————
    |2x - 5| = 3x + 9

    2x - 5 = 3x + 9
    3x - 2x = -5 - 9
    x = -14

    2x - 5 = -3x - 9
    2x + 3x = -9 + 5
    5x = -4
    x = -4/5

    Hp : {-14 , -4/5}
  • 1. |2x+3| =149
    2x + 3 = 149
    2x = 146
    x = 73
    atau
    2x +3 = -149
    2x = -152
    x = -76

    Hp= {-76,73}

    2.(2x-5)² =(3x+9)²
    => 4x² - 20x +25 = 9x² + 54x + 81
    => 5x² + 74x + 56
    => (5x + 4)(x+ 14)
    x = -4/5 V x = -14
    Hp={-14,-4/5}

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