document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=763199>Question 763199</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Complete the square and write the equation of the circle in standard form. Then determine the center and the radius of the circle to graph the equation.<BR>\n" );
document.write( "x^2+y^2+8x+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 #464607 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=464607\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2 + y^2 + 8x + 6y + 9 = 0<BR>\n" );
document.write( "Separate the x's and y's<BR>\n" );
document.write( "(x^2 + 8x) + (y^2 + 6y) + 9 = 0<BR>\n" );
document.write( "Completing the square on x's<BR>\n" );
document.write( "(x^2 + 8x + 4^2) - 4^2<BR>\n" );
document.write( "(x + 4)^2 - 16<BR>\n" );
document.write( "Completing the square on y's<BR>\n" );
document.write( "(y^2 + 6y + 3^2) - 3^2<BR>\n" );
document.write( "(y + 3)^2 -9<BR>\n" );
document.write( "Putting back into equation:-<BR>\n" );
document.write( "(x^2 + 8x) + (y^2 + 6y) + 9 = 0<BR>\n" );
document.write( "((x + 4)^2 - 16)+((y + 3)^2 - 9) + 9 = 0<BR>\n" );
document.write( " (x + 4)^2 + (y + 3)^2 -16 -9 + 9 = 0<BR>\n" );
document.write( " (x + 4)^2 + (y + 3)^2 - 16 = 0<BR>\n" );
document.write( " (x + 4)^2 + (y + 3)^2 = 16<BR>\n" );
document.write( "Centre (-4, -3) Radius = 4 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );