document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1103636>Question 1103636</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of the squares of two numbers is 72. The product of the two numbers is 36. Find the two numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #718334 by </B><A HREF=/tutors/aboutme.mpl?userid=jorel1380><B>jorel1380(3719)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jorel1380><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=jorel1380><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=718334\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let m and n be your two numbers. Then:<BR>\n" );
document.write( "m²+n²=72 and<BR>\n" );
document.write( "mn=36<BR>\n" );
document.write( "Therefore, n=36/m, so:<BR>\n" );
document.write( "m²+(36/m)²=72<BR>\n" );
document.write( "m^4+1296=72m²<BR>\n" );
document.write( "m^4-72m²+1296=0<BR>\n" );
document.write( "Solve for m and n<BR>\n" );
document.write( "&#9786;&#9786;&#9786;&#9786;<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );