SOLUTION: What is the product of all the real numbers that are doubled when added to their reciprocals?

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Question 380049: What is the product of all the real numbers that are doubled when added to their reciprocals?
Found 2 solutions by stanbon, richard1234:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What is the product of all the real numbers that are doubled when added to their reciprocals?
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Please read that to yourself and see if it makes any sense.
Cheers,
Stan H.

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
I believe it means find all numbers x such that 2x+=+x+%2B+1%2Fx.
If this is the case, then we have x+=+1%2Fx --> x = +/- 1 and the product is -1.