SOLUTION: The sum of a number and 2 times its reciprocal is 83/9. Find both possible numbers.

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Question 891493: The sum of a number and 2 times its reciprocal is 83/9. Find both possible numbers.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
N%2B2%281%2FN%29=83%2F9
9N%5E2%2B18N=83
Complete the square,
9%28N%5E2%2B2N%2B1%29=83%2B9
9%28N%2B1%29%5E2=92
3%28N%2B1%29=0+%2B-+sqrt%2892%29
N%2B1=0+%2B-+%282%2F3%29sqrt%2823%29
N=-1+%2B-+%282%2F3%29sqrt%2892%29