# maths

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

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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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