document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=279612>Question 279612</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The difference of two numbers is 20 and their product is -96. How do I find their numbers?? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #203235 by </B><A HREF=/tutors/aboutme.mpl?userid=unlockmath><B>unlockmath(1688)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=unlockmath><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=unlockmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=203235\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello, <BR>\n" );
document.write( "We can set up two equations and solve it from there. We'll let x be one number and y be the other. <BR>\n" );
document.write( "x-y=20<BR>\n" );
document.write( "x(y)=-96<BR>\n" );
document.write( "Let's put the second equation to look like this:<BR>\n" );
document.write( "x=-96/y <BR>\n" );
document.write( "Now we can plug this into the first to get:<BR>\n" );
document.write( "-96/y-y=20 Multiply this by y to get<BR>\n" );
document.write( "-96-y^2=20y Get this with everything on one side of the = sign.<BR>\n" );
document.write( "0=y^2+20y+96 Factor this to get:<BR>\n" );
document.write( "0=(y+8)(y+12)<BR>\n" );
document.write( "y=-8<BR>\n" );
document.write( "y=-12<BR>\n" );
document.write( "Plugging these numbers into the equations give us:<BR>\n" );
document.write( "x=12<BR>\n" );
document.write( "x=8<BR>\n" );
document.write( "There we go. <BR>\n" );
document.write( "RJ <BR>\n" );
document.write( "www.math-unlock.com </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );