document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=765632>Question 765632</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the squares of two numbers is 4 and the product of them is 1. Find<BR>\n" );
document.write( "the two numbers.\r<BR>\n" );
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document.write( "I think that the two simultanious equations are<BR>\n" );
document.write( "Let the numbers be x and y<BR>\n" );
document.write( "x(square) + y(square) = 4<BR>\n" );
document.write( "xy = 1\r<BR>\n" );
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document.write( "But the answer is a decimal... and it doesn't fit the two equations... please help me <BR>\n" );
document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #466304 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=466304\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x(square) + y(square) = 4<BR>\n" );
document.write( "xy = 1 <BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Solve for \"y\":<BR>\n" );
document.write( "y = 1/x<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Substitute for \"y\" and solve for \"x\":<BR>\n" );
document.write( "x^2 + (1/x)^2 = 4<BR>\n" );
document.write( "----<BR>\n" );
document.write( "x^4 + 1 = 4x^2<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "x^4 - 4x^2 + 1 = 0<BR>\n" );
document.write( "----<BR>\n" );
document.write( "x^2 = [4 +- sqrt(16-4)]/2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x^2 = [4+- 2sqrt(3)]/2<BR>\n" );
document.write( "--<BR>\n" );
document.write( "x^2 = 2 +- sqrt(3)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "x = sqrt[2+sqrt(3)] or x = -sqrt[2+sqrt(3)]<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Solve for \"y\"<BR>\n" );
document.write( "y = 1/sqrt[2+sqrt(3)] or y = -1/sqrt[2+sqrt(3)]<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=================== </SPAN>\n" );
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