document.write( "Question 7718: The sum of a number and its reciprocal is 10/3. What is the number?\r
\n" ); document.write( "\n" ); document.write( "Thank you for anyone that can help!
\n" ); document.write( "I just know I'm setting it up all wrong somehow. :/
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Algebra.Com's Answer #4261 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Let n be the unknown number, then:\r
\n" ); document.write( "\n" ); document.write( "\"n+%2B+1%2Fn+=+10%2F3\" Multiply both sides by n.\r
\n" ); document.write( "\n" ); document.write( "\"n%5E2+%2B+1+=+10n%2F3\" Multiply both sides by 3.\r
\n" ); document.write( "\n" ); document.write( "\"3n%5E2+%2B+3+=+10n\" Subtract 10n from both sides.\r
\n" ); document.write( "\n" ); document.write( "\"3n%5E2+-+10n+%2B+3+=+0\" Solve this quadratic equation by factoring.\r
\n" ); document.write( "\n" ); document.write( "\"%283n+-+1%29%28n+-+3%29+=+0\" Apply the zero product principle.\r
\n" ); document.write( "\n" ); document.write( "If \"3n+-+1+=+0\", then \"3n+=+1\", and \"n+=+1%2F3\" or
\n" ); document.write( "If \"n+-+3+=+0\", then \"n+=+3\"\r
\n" ); document.write( "\n" ); document.write( "The two numbers are: 3 and 1/3\r
\n" ); document.write( "\n" ); document.write( "Check:\r
\n" ); document.write( "\n" ); document.write( "3 + 1/3 = 9/3 + 1/3 = 10/3\r
\n" ); document.write( "\n" ); document.write( "1/3 + 3/1 = 1/3 + 9/3 = 10/3
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