document.write( "Question 187383: The sum of a number and its reciprocal is 10/3. Find the number. \n" ); document.write( "
Algebra.Com's Answer #140446 by Alan3354(69443)\"\" \"About 
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The sum of a number and its reciprocal is 10/3. Find the number.
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\n" ); document.write( "Since there's a 3 in the DEN, I'd guess 3. I'm right.
\n" ); document.write( "The hard way:
\n" ); document.write( "x + 1/x = 10/3
\n" ); document.write( "3x + 3/x = 10
\n" ); document.write( "\"3x%5E2+%2B+3+=+10x\"
\n" ); document.write( "\"3x%5E2+-+10x+%2B+3+=+0\"
\n" ); document.write( "(x-3)*(3x-1) = 0
\n" ); document.write( "x = 3
\n" ); document.write( "x = 1/3
\n" ); document.write( "I woulda missed the 1/3 just eyeballing it.
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