document.write( "Question 247231: One negative integer is 5 less than another, and their product is 84. Find the integers.\r
\n" ); document.write( "\n" ); document.write( "I know the answer is -12 X -7.\r
\n" ); document.write( "\n" ); document.write( "But how do I find the equation to solve this problem? \n" ); document.write( "
Algebra.Com's Answer #180421 by richwmiller(17219)\"\" \"About 
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let -n= first integer and -m the second
\n" ); document.write( "-n=-m-5
\n" ); document.write( "-n(-m)=84
\n" ); document.write( "substitute
\n" ); document.write( "(-m-5)(-m)=84
\n" ); document.write( "m^2+5m=84
\n" ); document.write( "complete the square
\n" ); document.write( "add (5/2)^2 to both sides\r
\n" ); document.write( "\n" ); document.write( "m^2+5m+15/4=84+15/4\r
\n" ); document.write( "\n" ); document.write( "m^2+5m+15/4=361/4
\n" ); document.write( "factor
\n" ); document.write( "(m+5/2)^2=361/4
\n" ); document.write( "get sqrt
\n" ); document.write( "m+5/2=+\-19/2
\n" ); document.write( "m=-5/2+\-19/2
\n" ); document.write( "m=-24/2=-12
\n" ); document.write( "m=14/2=7
\n" ); document.write( "since we want a negative integer it can't be 7
\n" ); document.write( "so we have -12
\n" ); document.write( "-12+5=-7\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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