document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=697047>Question 697047</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the center of an ellipse with this equation:<BR>\n" );
document.write( "9x2+16y2-18x+64y=71 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #429609 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=429609\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the center of an ellipse with this equation:<BR>\n" );
document.write( "9x2+16y2-18x+64y=71<BR>\n" );
document.write( "**<BR>\n" );
document.write( "9x^2+16y^2-18x+64y=71<BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "9x^2-18x+16y^2+64y=71<BR>\n" );
document.write( "9(x^2-2x+1)+16(y^2+4y+4)=71+9+64<BR>\n" );
document.write( "9(x-1)^2+16(y+2)^2=144<BR>\n" );
document.write( "(x-1)^2/16+(y+2)^2/9=1<BR>\n" );
document.write( "this is an equation of an ellipse with horizontal major axis and center at (1,-2)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );