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

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Question 250096: A natural number decreased by 30 times its reciprocal is 1. Find the natural number.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A natural number decreased by 30 times its reciprocal is 1. Find the natural number.
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Let the number be "x".
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x - 30(1/x) = 1
x^2 - 30 = x
x^2-x-30 = 0
(x-6)(x+5) = 0
If x is a natural number, x = 6
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Cheers,
Stan H.