SOLUTION: the sum of number and its resiprocal is 50/7 .find the number

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Question 767300: the sum of number and its resiprocal is 50/7 .find the number
Answer by josgarithmetic(39617) About Me  (Show Source):
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n%2B1%2Fn=50%2F7
n%5E2%2B1=50n%2F7
7n%5E2%2B7=50n
7n%5E2-50n%2B7=0
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Factorable into
%287n-1%29%28n-7%29=0

Either n=1%2F7 Or n=7