document.write( "Question 891493: The sum of a number and 2 times its reciprocal is 83/9. Find both possible numbers. \n" ); document.write( "

Algebra.Com's Answer #539785 by Fombitz(32388) $\"\"$ $\"About$

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$\"N%2B2%281%2FN%29=83%2F9\"$
\n" ); document.write( " $\"9N%5E2%2B18N=83\"$
\n" ); document.write( "Complete the square,
\n" ); document.write( " $\"9%28N%5E2%2B2N%2B1%29=83%2B9\"$
\n" ); document.write( " $\"9%28N%2B1%29%5E2=92\"$
\n" ); document.write( " $\"3%28N%2B1%29=0+%2B-+sqrt%2892%29\"$
\n" ); document.write( " $\"N%2B1=0+%2B-+%282%2F3%29sqrt%2823%29\"$
\n" ); document.write( " $\"N=-1+%2B-+%282%2F3%29sqrt%2892%29\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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