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March 28, 2017

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The numerator of a fraction is four less than the denominator The sum of the fraction and its reciprocal is 5/2 Find the numerator and denominator if each is a positive integer

  • precal help - ,

    n = d - 4

    [(d - 4) / d] + [d / (d - 4)] = 5/2

    multiplying by [2 * d * (d - 4)]

    [2 (d - 4)^2] + (2 d^2) = 5 d (d - 4)

    2d^2 - 16d + 32 + 2d^2 = 5d^2 - 20d

    0 = d^2 - 4d - 32

    factoring __ 0 = (d - 8)(d + 4)

    0 = d - 8 __ 8 = d

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