SOLUTION: The sum of a number and its reciprocal is 10/3. Find the number.

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Question 187383: The sum of a number and its reciprocal is 10/3. Find the number.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of a number and its reciprocal is 10/3. Find the number.
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Since there's a 3 in the DEN, I'd guess 3. I'm right.
The hard way:
x + 1/x = 10/3
3x + 3/x = 10
3x%5E2+%2B+3+=+10x
3x%5E2+-+10x+%2B+3+=+0
(x-3)*(3x-1) = 0
x = 3
x = 1/3
I woulda missed the 1/3 just eyeballing it.