document.write( "Question 371942: The sum of the reciprocals of two consecutive integers is 5/6. Find two integers \n" ); document.write( "

Algebra.Com's Answer #264943 by Fombitz(32388) $\"\"$ $\"About$

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$\"N\"$ and $\"N%2B1\"$ are the integers.
\n" ); document.write( " $\"1%2FN%2B1%2F%28N%2B1%29=5%2F6\"$
\n" ); document.write( "Use the common denominator, $\"6N%28N%2B1%29\"$
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\n" ); document.write( " $\"%286%28N%2B1%29%2B%286N%29-5N%28N%2B1%29%29%2F%286N%28N%2B1%29%29=0\"$
\n" ); document.write( " $\"%286N%2B6%2B6N-5N%5E2-5N%29%2F%286N%28N%2B1%29%29=0\"$
\n" ); document.write( " $\"%28-5N%5E2%2B7N%2B6%29%2F%286N%28N%2B1%29%29=0\"$
\n" ); document.write( "Factor the numerator.
\n" ); document.write( " $\"%28%285N%2B3%29%28-N%2B2%29%29%2F%286N%28N%2B1%29%29=0\"$
\n" ); document.write( "Two solutions but only one is an integer solution.
\n" ); document.write( " $\"-N%2B2=0\"$
\n" ); document.write( " $\"N=2\"$
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\n" ); document.write( " $\"2\"$ and $\"3\"$ are the integers.
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