document.write( "Question 965000: The product of two consecutive positive integers is 12 more than 5 times the smaller integer. Find the integers. \n" ); document.write( "

Algebra.Com's Answer #589765 by macston(5194) $\"\"$ $\"About$

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\n" ); document.write( "x=smaller integer; x+1=larger integer
\n" ); document.write( " $\"%28x%29%28x%2B1%29=5x%2B12\"$
\n" ); document.write( " $\"x%5E2%2Bx=5x%2B12\"$ Subtract 5x from each side.
\n" ); document.write( " $\"x%5E2-4x=12\"$ Subtract 12 from each side.
\n" ); document.write( " $\"x%5E2-4x-12=0\"$
\n" ); document.write( " $\"%28x-6%29%28x%2B2%29=0\"$
\n" ); document.write( " $\"x-6=0\"$ $\"or\"$ $\"x%2B2=0\"$
\n" ); document.write( " $\"x=6\"$ $\"or\"$ $\"x=-2\"$
\n" ); document.write( "ANSWER 1: The smaller integer is 6.
\n" ); document.write( " $\"x%2B1=6%2B1\"$ = $\"7\"$ ANSWER 2: The larger integer is 7.
\n" ); document.write( ".
\n" ); document.write( "CHECK:
\n" ); document.write( ".
\n" ); document.write( " $\"%28x%29%28x%2B1%29=5x%2B12\"$
\n" ); document.write( " $\"%286%29%287%29=5%286%29%2B12\"$
\n" ); document.write( " $\"42=30%2B12\"$
\n" ); document.write( " $\"42=42\"$ \n" ); document.write( "

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