document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=771702>Question 771702</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find two numbers whose sum is 55 and whose product is 684.<BR>\n" );
document.write( "This is my homework. But I would really appreciate it if you could write the formula so that I can also understand how you did it and can further use it in my future encounter with these problem.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #470432 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=470432\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x + y = 55....1<BR>\n" );
document.write( "xy = 684......2<BR>\n" );
document.write( "Alter (2)<BR>\n" );
document.write( "x = 684/y......2<BR>\n" );
document.write( "Substitute x = 684/y into (1)<BR>\n" );
document.write( "x + y = 55<BR>\n" );
document.write( "684/y + y = 55<BR>\n" );
document.write( "Common Denominator = y<BR>\n" );
document.write( "684 + y^2 = 55y<BR>\n" );
document.write( "Rearrange<BR>\n" );
document.write( "y^2 - 55y + 684 = 0 <BR>\n" );
document.write( "(y - 36)(y - 19) = 0<BR>\n" );
document.write( "So y can equal 36 or 19<BR>\n" );
document.write( "and x can equal 19 or 36.<BR>\n" );
document.write( "Hope this helps.<BR>\n" );
document.write( ":-)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );