SOLUTION: The sum of a number and twice its reciprocal is 83 over 9. Find the number.

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Question 679669: The sum of a number and twice its reciprocal is 83 over 9. Find the number.
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
n+%2B+2%281%2Fn%29+=+83%2F9
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n+%2B+2%2Fn+=+83%2F9
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Multiply the entire equation by n

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9n%5E2+-+83n+%2B+18
(9n -2)(n-9) = 0
9n-2 = 0
9n = 2
n = 2%2F9
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n-9=0
n = 9
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The number could be 9 OR 2%2F9
9+%2B+2%281%2F9%29+=+81%2F9+%2B+2%2F9+=+83%2F9
2%2F9+%2B+2%289%2F2%29+=+2%2F9+%2B+9+=+2%2F9+%2B+81%2F9+=+83%2F8
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