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The sum of a number and four times its reciprocal is 5.Find possible values of the number.

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asked by mandy
  1. the number --- x
    its reciprocal --- 1/x

    x + 4(1/x) = 5
    times x

    x^2 + 4 = 5x
    x^2-5x + 4 = 0
    (x-1)(x-4) = 0
    x = 1 or x = 4

    I leave it up to you to check them out.

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    posted by Reiny

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