document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=372487>Question 372487</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to use quadratic equations to find two real numbers that satisfy the sum of 15 and the product 36 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #265309 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=265309\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x+y =15<BR>\n" );
document.write( "xy = 36<BR>\n" );
document.write( "x= 36/y<BR>\n" );
document.write( "..<BR>\n" );
document.write( "plug value of x in the first equation<BR>\n" );
document.write( "36/y +y =15<BR>\n" );
document.write( "(36+y^2)/y =15<BR>\n" );
document.write( "36+y^2 =15y<BR>\n" );
document.write( "y^2-15y+36=0<BR>\n" );
document.write( "...<BR>\n" );
document.write( "y^2-12x-3x+36=0<BR>\n" );
document.write( "y(y-12)-3(y-12)=0<BR>\n" );
document.write( "(y-12)(y-3)=0<BR>\n" );
document.write( "y =12 OR y =3<BR>\n" );
document.write( "...<BR>\n" );
document.write( "m.ananth@hotmail.ca </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );