document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=194535>Question 194535</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the nonlinear system of eqautions.<BR>\n" );
document.write( "4x^2-2y^2=2<BR>\n" );
document.write( "-x^2+y^2=2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #145979 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><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=145979\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1)   4x^2 -2y^2  =  2<BR>\n" );
document.write( "2)   -x^2 +y^2 = 2,,,,,y^2 = X^2 +2<BR>\n" );
document.write( "subst  into  (1)<BR>\n" );
document.write( "4x^2 -2(x^2 +2) = 2<BR>\n" );
document.write( "4x^2 -2x^2 -4 = 2<BR>\n" );
document.write( "2x^2 = 6<BR>\n" );
document.write( "x^2 = 3<BR>\n" );
document.write( "x= sqrt3,,,,,ANSWER<BR>\n" );
document.write( "subst  in  (2)<BR>\n" );
document.write( "y^2  = (sqrt3)^2 +2 = 3 +2 = 5<BR>\n" );
document.write( "y = sqrt 5,,,,,ANSWER<BR>\n" );
document.write( ",<BR>\n" );
document.write( " checking<BR>\n" );
document.write( "1)  4*sqrt 3^2 -2*sqrt5^2 =2,,,,4*3 -2*5 = 2,,,2=2,,,ok<BR>\n" );
document.write( "2)  -(sqrt3)^2 +(sqrt5)^2   =  2,,,,-3+5 = 2,,2=2,,,,ok </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );