SOLUTION: The average of a number and its reciprocal is 13/5. Find the numbers.

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Question 833031: The average of a number and its reciprocal is 13/5. Find the numbers.
Answer by josgarithmetic(39626) About Me  (Show Source):
You can put this solution on YOUR website!
x is the number.

%281%2F2%29%28x%2B1%2Fx%29=13%2F5, which will become a quadratic equation during the steps toward finding x.

Getting started,
%28x%2B1%2Fx%29=26%2F5
5x%2B5%2Fx=26
5x%5E2%2B5=26x
5x%5E2-26x%2B5=0
You take from here.