Matematika

Pertanyaan

jika x1 dan x2 solusi dari persamaan 3.9x + 9^1-x = 28

1 Jawaban

  • Eksponen

    Misal :
    9^x = a

    3 . 9^x + 9^(1-x) = 28
    3a + 9/a = 28 ... Kalikan a
    3a² - 28a + 9 = 0
    (3a - 1)(a - 9) = 0
    a = 1/3 atau a = 9

    a = 1/3
    9^x = 3^-1
    3^2x = 3^-1
    2x = -1
    x = -1/2

    a = 9
    9^x = 9
    x = 1

    NiLai x yg memenuhi :
    x1 = -1/2
    x2 = 1

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