SOLUTION: The sum of a number and its reciprocal is 53/14. Find the numbers

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Question 1009974: The sum of a number and its reciprocal is 53/14. Find the numbers
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Let the number be x.
x%2B1%2Fx=53%2F14

Common denominator is 14x.
Fraction Skills - Do what you know.

You should obtain a quadratic equation, 14x%5E2-53x%2B14=0
and use of formula for general solution of quadratic equation should bring you to x=%2853%2B-+45%29%2F28.


x=2%2F7 or x=7%2F2