document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=696070>Question 696070</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I change this into H-K form to find the properties of an elipse:<BR>\n" );
document.write( "x^2+4y^2-6x-16y+21=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #428808 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=428808\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do I change this into H-K form to find the properties of an elipse:<BR>\n" );
document.write( "x^2+4y^2-6x-16y+21=0<BR>\n" );
document.write( "complete the square<BR>\n" );
document.write( "x^2-6x+4y^2-16y+21=0<BR>\n" );
document.write( "(x^2-6x+9)+4(y^2-4y+4)=-21+9+16<BR>\n" );
document.write( "(x-3)^2+4(y-2)^2=4<BR>\n" );
document.write( "(x-3)^2/4+(y-2)^2/1=1<BR>\n" );
document.write( "This is an ellipse with horizontal major axis and center at (3,2)<BR>\n" );
document.write( "length of horizontal major axis=2a=4<BR>\n" );
document.write( "length of minor axis=2b=2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );