SOLUTION: The sum of a number and its reciprocal is 2. Find the number.

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Question 10812: The sum of a number and its reciprocal is 2. Find the number.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let n be the number.
Then:
n+%2B+1%2Fn+=+2 Simplify.
%28n%5E2+%2B+1%29%2Fn+=+2
n%5E2+-+2n+%2B+1+=+0 Solve by factoring.
%28n-1%29%28n-1%29+=+0
n-1+=+0; n+=+1
The number is 1.