document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1058114>Question 1058114</A>: <I><SPAN STYLE=\"word-break: break-all;\"> X^x+y^y=31<BR>\n" );
document.write( "X+y=5. Find x and y </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #673127 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=673127\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2+y^2=31<BR>\n" );
document.write( "x+y=5<BR>\n" );
document.write( "y=(5-x)<BR>\n" );
document.write( "x^2+(5-x)^2=31<BR>\n" );
document.write( "x^2+25-10x+x^2=31<BR>\n" );
document.write( "2x^2-10x-6=0<BR>\n" );
document.write( "x^2-5x-3=0<BR>\n" );
document.write( "x=(1/2)(5+/- sqrt(25+12)); sqrt (37)=6.083)<BR>\n" );
document.write( "x=(1/2)(11.083)=5.54<BR>\n" );
document.write( "x=(1/2)(-1.083)=-0.54<BR>\n" );
document.write( "(5.54,-0.54) and (-0.54,5.54), correct within rounding error.<BR>\n" );
document.write( "It is a line intersecting a circle centered on the origin with radius sqrt (31)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );