document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30336>Question 30336</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question:<BR>\n" );
document.write( "How many real solutions does this nonlinear system have?<BR>\n" );
document.write( "x^2+y2=13<BR>\n" );
document.write( "=x^2+2y^2=14\r<BR>\n" );
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document.write( "(a) 0<BR>\n" );
document.write( "(b) 1<BR>\n" );
document.write( "(c) 2<BR>\n" );
document.write( "(d) 3<BR>\n" );
document.write( "(e) 4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #17341 by </B><A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><B>sdmmadam@yahoo.com(530)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><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=17341\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2+y2=13   ----(1)<BR>\n" );
document.write( "x^2+2y^2=14 ----(2)<BR>\n" );
document.write( "That is (x^2+y^2)+y^2 = 14  ----(2)<BR>\n" );
document.write( "putting (1) in (2)<BR>\n" );
document.write( "13+y^2 =14<BR>\n" );
document.write( "y^2 = 14-13<BR>\n" );
document.write( "y^2 =1<BR>\n" );
document.write( "y = +1 or y = -1 for which we get x^2 = 12<BR>\n" );
document.write( "And x^2 = 12 implies x = +sqrt(12) and x = -sqrt(12)<BR>\n" );
document.write( "Therefore there are four solutions<BR>\n" );
document.write( "which is your choice (e) 4\r<BR>\n" );
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document.write( " </SPAN>\n" );
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