document.write( "Question 948889: The product of two consecutive integers is 11 less than the square of the lesser integer. Find the greater of the two integers \n" ); document.write( "

Algebra.Com's Answer #579210 by macston(5194) $\"\"$ $\"About$

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The product of two consecutive integers is 11 less than the square of the lesser integer. Find the greater of the two integers
\n" ); document.write( "x=lesser integer; x+1=greater integer
\n" ); document.write( " $\"%28x%29%28x%2B1%29=x%5E2-11\"$
\n" ); document.write( " $\"x%5E2%2Bx=x%5E2-11\"$ Subtract $\"x%5E2\"$ from each side
\n" ); document.write( "x=-11 The lesser integer is -11
\n" ); document.write( "x+1=-11+1=-10 ANSWER: The greater integer is -10
\n" ); document.write( "CHECK:
\n" ); document.write( " $\"%28-11%29%28-10%29=%28-11%29%5E2-11\"$
\n" ); document.write( " $\"110=121-11\"$
\n" ); document.write( " $\"110=110\"$
\n" ); document.write( " \n" ); document.write( "

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