Matematika

Pertanyaan

tolong rumusnya ya :V
tolong rumusnya ya :V

1 Jawaban

  • 4ˣ⁺² + 7. 2ˣ⁺⁴ = 128
    4ˣ⁺² + 7 . 2ˣ⁺² . 2² = 128
    4ˣ⁺² + 7 . 2ˣ⁺² . 4 = 128
    4ˣ⁺² + 28. 2ˣ⁺² = 128

    Misal
    2ˣ⁺² = a

    a² + 28a = 128
    a² + 28a - 128 = 0
    (a + 32)(a - 4) = 0

    a + 32 = 0
    a = -32 ( tidak memenuhi)

    a - 4 = 0
    a = 4

    2ˣ⁺² = 4
    2ˣ⁺² = 2²
    x + 2 = 2
    x = 2 - 2
    x = 0

    maka
    2ˣ⁺¹ = 2⁰⁺¹
           = 2¹
           = 2

    Jawaban D