document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=459118>Question 459118</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do you graph x^2+y^2+12x-6y-9=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #316243 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=316243\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> how do you graph x^2+y^2+12x-6y-9=0<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x^2+y^2+12x-6y-9=0<BR>\n" );
document.write( "completing the square<BR>\n" );
document.write( "(x^2+12x+36)+(y^2-6y+9)=0+36+9=45\r<BR>\n" );
document.write( "\n" );
document.write( "(x+6)^2+(y-9)^2=45<BR>\n" );
document.write( "This equation is a circle with center at (-6,9) and radius=&#8730;45=6.7..<BR>\n" );
document.write( "see graph below:<BR>\n" );
document.write( "..<BR>\n" );
document.write( "y=(45-(x+6)^2)^.5+9<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-20%2C+20%2C+-20%2C+20%2C%2845-%28x%2B6%29%5E2%29%5E.5%2B9%2C-%2845-%28x%2B6%29%5E2%29%5E.5%2B9%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );