document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=92382>Question 92382</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x2+y2=25<BR>\n" );
document.write( "xy=12 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #67230 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=67230\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x2+y2=25<BR>\n" );
document.write( "xy=12<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Solve the 2nd equation for y and substitute into the 1st equation.<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "y = 12/x\r<BR>\n" );
document.write( "\n" );
document.write( "x^2+(12/x)^2 = 25\r<BR>\n" );
document.write( "\n" );
document.write( "x^2 + 144/x^2 = 25\r<BR>\n" );
document.write( "\n" );
document.write( "Multiply thru by x^2 to get:\r<BR>\n" );
document.write( "\n" );
document.write( "x^4 + 144 = 25x^2\r<BR>\n" );
document.write( "\n" );
document.write( "x^4 - 25x^2 +144 = 0<BR>\n" );
document.write( "(x^2-9)(x^2-16)=0\r<BR>\n" );
document.write( "\n" );
document.write( "x = 3 or x=4 or x = -3 or x= -4<BR>\n" );
document.write( "correspondingly:<BR>\n" );
document.write( "y= 4 or y=3 or y= -4 or y=-3<BR>\n" );
document.write( "===============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "\n" );
document.write( "================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );