SOLUTION: the difference between a number and its reciprocal is 21/10. find the number.

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Question 941828: the difference between a number and its reciprocal is 21/10. find the number.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
N-1%2FN=21%2F10
Multiply both sides by 10N
10N%5E2-10=21N
10N%5E2-21N-10=0
%282N-5%29%285N%2B2%29=0
Two solutions:
2N-5=0
2N=5
N=5%2F2
and
5N%2B2=0
5N=-2
N=-2%2F5