# 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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