document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=33194>Question 33194</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the center of an ellipse with the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2+%2B+16y%5E2+-+18x+%2B+64y+=+71 ALIGN=MIDDLE  ALT=\"9x%5E2+%2B+16y%5E2+-+18x+%2B+64y+=+71\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #19610 by </B><A HREF=/tutors/aboutme.mpl?userid=mukhopadhyay><B>mukhopadhyay(490)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mukhopadhyay><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=19610\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 9x^2+16y^2-18x+64y=71<BR>\n" );
document.write( "=> 9(x^2-2x)+16(y^2+4y) = 71<BR>\n" );
document.write( "=> 9[(x-1)^2-1]+16[(y+2)^2-4] = 71<BR>\n" );
document.write( "=> 9(x-1)^2+16(y+2)^2 = 71+9+64<BR>\n" );
document.write( "=> 9(x-1)^2+16(y+2)^2 = 144 (same as 12^2)<BR>\n" );
document.write( "=> (x-1)^2/4^2 + (y+2)^2/3^2 = 1<BR>\n" );
document.write( "The center of an ellipse of form (x-h)^2/a^2 + (y-k)^2/b^2 = 1 is at (h,k)<BR>\n" );
document.write( "So, the center of the specified ellipse is at (1,-2). </SPAN>\n" );
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