Matematika

Pertanyaan

Nilai x1+x2 yg memenuhi persamaan 9^x - 12.3^x +27=0 adalah

2 Jawaban

  • (3^x)^2-12(3^x)+27=0
    3^x1 . 3^x2 = c/a
    3^(x1+x2)=27
    3^(x1+x2)=3^3
    x1+x2=3
  • 9^x - 12.3^x + 27 = 0
    3^(2x) - 12.3^x + 27 = 0

    Misal 3^x = a
    a² - 12a + 27 = 0
    (a - 9)(a - 3) = 0

    a = 9
    3^x = 3²
    x = 2

    a = 3
    3^x = 3
    x = 1

    Maka...
    X1 + X2
    = 2 + 1
    = 3

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