document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=208116>Question 208116</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 4 and their product is (- 32). Find the numbers.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #157455 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=157455\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x+y=4 or x=4-y<BR>\n" );
document.write( "xy=-32<BR>\n" );
document.write( "y(4-y)=-32<BR>\n" );
document.write( "4y-y^2=-32<BR>\n" );
document.write( "-y^2+4y+32=0<BR>\n" );
document.write( "y^2-4y-32=0<BR>\n" );
document.write( "(y-8)(y+4)=0<BR>\n" );
document.write( "y-8=0<BR>\n" );
document.write( "y=8 or y=-4<BR>\n" );
document.write( "x=-4 or x=8<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "8-4=4<BR>\n" );
document.write( "4=4<BR>\n" );
document.write( "8*-4=-32<BR>\n" );
document.write( "-32=-32 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );