Math

A natural number decreased by 30 times its reciprocal is 1. Find the natural number.

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  1. the number --- x
    its reciprocal --- 1/x

    x - 30/x = 1
    times x
    x^2 - 30 = x
    x^2 - x - 30 = 0
    (x - 6)(x + 5) = 0
    x = 6 or x = -5, but a natural number is positive, so

    x = 6

    check:
    6 - 30(1/6)
    = 6 - 5
    = 1
    looking good.

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  2. Thankyou so much

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