document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=981319>Question 981319</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x-y^2+6=0<BR>\n" );
document.write( "2x^2+y^2-7-0<BR>\n" );
document.write( "what are all possible (x,y) solutions? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #602316 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=602316\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x-y^2+6=0<BR>\n" );
document.write( "2x^2+y^2-7=0, editing\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x=y^2-6;x^2=y^4-12y^2+36<BR>\n" );
document.write( "substitute<BR>\n" );
document.write( "2y^4-24y^2+72+y^2-7=0\r<BR>\n" );
document.write( "\n" );
document.write( "2y^4-23y^2+65=0<BR>\n" );
document.write( "(2y^2-13)(y^2-5)=0<BR>\n" );
document.write( "2y^2=13<BR>\n" );
document.write( "y^2=(13/2)<BR>\n" );
document.write( "y=  +/- sqrt  (26)/2; after rationalizing the denominator\r<BR>\n" );
document.write( "\n" );
document.write( "y^2=5<BR>\n" );
document.write( "y= +/- sqrt (5)\r<BR>\n" );
document.write( "\n" );
document.write( "first equation becomes<BR>\n" );
document.write( "x-5+6=0; x+1=0, x=-1\r<BR>\n" );
document.write( "\n" );
document.write( "x=-1; y=+/- sqrt (5); +/- sqrt (26)/2\r<BR>\n" );
document.write( "\n" );
document.write( "second equation becomes<BR>\n" );
document.write( "2+5-7=0 ; checks </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );