document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147484>Question 147484</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help solving the following non-linear systems please!!<BR>\n" );
document.write( "x^2+y^2=25<BR>\n" );
document.write( "y=x^2-5\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks!\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #107881 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=107881\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2+y^2=25<BR>\n" );
document.write( "y=x^2-5 <BR>\n" );
document.write( "----------<BR>\n" );
document.write( "rearrange 2nd equation to get:<BR>\n" );
document.write( "x^2 = y+5<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Substitute that into the 1st equation:<BR>\n" );
document.write( "y+5 + y^2 = 25<BR>\n" );
document.write( "y^2+y-20 = 0<BR>\n" );
document.write( "(y+5)(y-4) = 0<BR>\n" );
document.write( "y = 4 or y = -5<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "If y = 4, x^2 = y+5 = 9; then x = +/3<BR>\n" );
document.write( "If y = -5, x^2 = y+5 = 0; then x = 0<BR>\n" );
document.write( "-------------------------------------<BR>\n" );
document.write( "Final Solution: (0,-5), (3,4), (-3,4)<BR>\n" );
document.write( "-------------------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );