Matematika

Pertanyaan

jika x1 dan x2 memenuhi persamaan ^xlog 3 - ^xlog (2x - 4 + 4/x ) = 1, maka x1 + x2 =

1 Jawaban

  • LogAritMa

    x'log 3 - x'log (2x - 4 + 4/x) = 1
    x'log (3 / (2x - 4 + 4/x)) = x'log x
    3 / (2x - 4 + 4/x) = x
    Kalikan silang
    3 = 2x² - 4x + 4
    3 pindahin ke ruas kanan
    2x² - 4x + 1 = 0
    a = 2
    b = -4
    c = 1

    x1 + x2 = -b/a = -(-4)/2 = 2

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