document.write( "Question 981082: Find two consecutive even integers whose product is 34 more than their sum. \n" ); document.write( "

Algebra.Com's Answer #602105 by macston(5194) $\"\"$ $\"About$

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\n" ); document.write( "x and x+2 are consecutive even integers
\n" ); document.write( ".
\n" ); document.write( " $\"x%2B%28x%2B2%29%2B34=x%28x%2B2%29\"$
\n" ); document.write( " $\"2x%2B36=x%5E2%2B2x\"$
\n" ); document.write( " $\"0=x%5E2-36\"$
\n" ); document.write( " $\"0=%28x%2B6%29%28x-6%29\"$
\n" ); document.write( " $\"x%2B6=0\"$ $\"OR\"$ $\"x-6=0\"$
\n" ); document.write( " $\"x=-6\"$ $\"OR\"$ $\"x=6\"$
\n" ); document.write( ".
\n" ); document.write( "CHECK:
\n" ); document.write( "For x=-6, x+2=-4:
\n" ); document.write( "-6+-4=((-6)(-4))-34
\n" ); document.write( "-10=24-34
\n" ); document.write( "-10=-10
\n" ); document.write( ".
\n" ); document.write( "For x=6, x+2=8
\n" ); document.write( "6+8=((6)(8))-34
\n" ); document.write( "14=48-34
\n" ); document.write( "14=14
\n" ); document.write( ".
\n" ); document.write( "Two sets of integers that meet the requirements are (-6,-4) and (6,8) \n" ); document.write( "

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