document.write( "Question 10812: The sum of a number and its reciprocal is 2. Find the number. \n" ); document.write( "

Algebra.Com's Answer #5677 by Earlsdon(6294) $\"\"$ $\"About$

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Let n be the number.\r
\n" ); document.write( "\n" ); document.write( "Then:
\n" ); document.write( " $\"n+%2B+1%2Fn+=+2\"$ Simplify.
\n" ); document.write( " $\"%28n%5E2+%2B+1%29%2Fn+=+2\"$
\n" ); document.write( " $\"n%5E2+-+2n+%2B+1+=+0\"$ Solve by factoring.
\n" ); document.write( " $\"%28n-1%29%28n-1%29+=+0\"$
\n" ); document.write( " $\"n-1+=+0\"$ ; $\"n+=+1\"$ \r
\n" ); document.write( "\n" ); document.write( "The number is 1.
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