document.write( "Question 324646: The product of two consecutive integers is 55 more than their sum. Find the integers. \n" ); document.write( "

Algebra.Com's Answer #232383 by Fombitz(32388) $\"\"$ $\"About$

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$\"n%28n%2B1%29=55%2Bn%2Bn%2B1\"$
\n" ); document.write( " $\"n%5E2%2Bn=2n%2B56\"$
\n" ); document.write( " $\"n%5E2-n-56=0\"$
\n" ); document.write( " $\"%28n%2B7%29%28n-8%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"n%2B7=0\"$
\n" ); document.write( " $\"+n=-7\"$
\n" ); document.write( "Then the integers are $\"-7\"$ and $\"-6\"$ .
\n" ); document.write( "Verify
\n" ); document.write( " $\"%28-7%29%28-6%29=55-7-6\"$
\n" ); document.write( " $\"42=48-6\"$
\n" ); document.write( " $\"42=42\"$
\n" ); document.write( "True
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"n-8=0\"$
\n" ); document.write( " $\"n=8\"$
\n" ); document.write( "Then the integers are $\"8\"$ and $\"9\"$ .
\n" ); document.write( "Verify
\n" ); document.write( " $\"8%2A9=55%2B8%2B9\"$
\n" ); document.write( " $\"72=63%2B9\"$
\n" ); document.write( " $\"72=72\"$
\n" ); document.write( "True \n" ); document.write( "

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