document.write( "Question 833031: The average of a number and its reciprocal is 13/5. Find the numbers. \n" ); document.write( "

Algebra.Com's Answer #502290 by josgarithmetic(39627) $\"\"$ $\"About$

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x is the number.
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\n" ); document.write( "\n" ); document.write( " $\"%281%2F2%29%28x%2B1%2Fx%29=13%2F5\"$ , which will become a quadratic equation during the steps toward finding x.\r
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\n" ); document.write( "\n" ); document.write( "Getting started,
\n" ); document.write( " $\"%28x%2B1%2Fx%29=26%2F5\"$
\n" ); document.write( " $\"5x%2B5%2Fx=26\"$
\n" ); document.write( " $\"5x%5E2%2B5=26x\"$
\n" ); document.write( " $\"5x%5E2-26x%2B5=0\"$
\n" ); document.write( "You take from here. \n" ); document.write( "

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