Matematika

Pertanyaan

11 pangkat x²-x =121 pangkat x+20????

1 Jawaban

  • 11^(x² - x) = 121^(x + 10)
    11^(x² - x) = (11^2)^(x + 10)
    11^(x² - x) = 11^(2(x + 10)
    x² - x = 2x + 20
    x² - x - 2x - 20 = 0
    x² - 3x - 20 = 0

    rumus abc :
    x² - 3x - 20 = 0
    a = 1
    b = -3
    c = -20

    x1.2 = (-b ± √(b² - 4ac))/(2a)
    x1.2 = (3 ± √(9 - (-80)))/2
    x1.2 = (3 ± √89)/2

    Jadi, nilai x yg memenuhi :
    x1 = (3 + √89)/2
    x2 = (3 - √89)/2

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