document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=918087>Question 918087</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system algebraically.\r<BR>\n" );
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document.write( "{ x^2 - 4y^2 = 5<BR>\n" );
document.write( "          xy = 3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #556897 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=556897\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the system algebraically.<BR>\n" );
document.write( "{ x^2 - 4y^2 = 5<BR>\n" );
document.write( "xy = 3<BR>\n" );
document.write( "***<BR>\n" );
document.write( "x^2-4y^2=5<BR>\n" );
document.write( "xy=3<BR>\n" );
document.write( "y=3/x<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x^2-4(3/x)^2=5<BR>\n" );
document.write( "x^2-4(9/x^2)=5<BR>\n" );
document.write( "x^2-36/x^2=5<BR>\n" );
document.write( "lcd:x^2<BR>\n" );
document.write( "x^4-5x^2-36=0<BR>\n" );
document.write( "(x^2-9)(x^2+4)<BR>\n" );
document.write( "(x+3)(x-3)(x^2+4)<BR>\n" );
document.write( "x=-3<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x=3<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x^2+4=0<BR>\n" );
document.write( "x^2=-4<BR>\n" );
document.write( "x=±&#8730;(-4)=±&#8730;4*&#8730;-1=±2i<BR>\n" );
document.write( "solution: x=-3, 3, ±2i </SPAN>\n" );
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