document.write( "Question 79125: The sum of a fraction and its reciprocal is 34/15. Find the fraction. \n" ); document.write( "
Algebra.Com's Answer #56789 by stanbon(75887)\"\" \"About 
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The sum of a fraction and its reciprocal is 34/15
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\n" ); document.write( "EQUATION:
\n" ); document.write( "x+(1/x) = 34/15
\n" ); document.write( "Add the left side:
\n" ); document.write( "(x^2+1)/x = 34/15
\n" ); document.write( "Cross-multiply to get:
\n" ); document.write( "15x^2+15=34x
\n" ); document.write( "15x^2-34x+15=0
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\n" ); document.write( "x=[34+-sqrt(34^2-4*15*15)]/30\r
\n" ); document.write( "\n" ); document.write( "x=[34+-16]/30\r
\n" ); document.write( "\n" ); document.write( "x=2 or 18/30= 3/5 \r
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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