document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=646603>Question 646603</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Put the equation in standard form for an ellipse.<BR>\n" );
document.write( "9x^2-54x+4y^2+8y=-49 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #406092 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=406092\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Put the equation in standard form for an ellipse.<BR>\n" );
document.write( "9x^2-54x+4y^2+8y=-49<BR>\n" );
document.write( "complete the squares<BR>\n" );
document.write( "9(x^2-6x+9)+4(y^2+2y+1)=-49+81+4<BR>\n" );
document.write( "9(x-3)^2+4(y+1)^2=36<BR>\n" );
document.write( "equation in standard form:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E2%2F4%2B%28y%2B1%29%5E2%2F9=1 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2%2F4%2B%28y%2B1%29%5E2%2F9=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is an equation of an ellipse with vertical major axis and center at(3,-1)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );