document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=484442>Question 484442</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,\r<BR>\n" );
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document.write( "I need a quick brush-up on ellipses:\r<BR>\n" );
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document.write( "find center of ellipse x^2+4y+6x-8y+9=0\r<BR>\n" );
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document.write( "mainly i just need to know how to get this in the right form, and then I think I'm good from there on figuring out the center, etc. I completed the square and got (x+3)^2+4(y-1)^2=1, but there is still the 4 in front of the (y-1)^2 - how do i get rid of the 4 while keeping a 1 on the right side?\r<BR>\n" );
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document.write( "Thanks,\r<BR>\n" );
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document.write( "Jessica </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #331586 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=331586\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need a quick brush-up on ellipses: <BR>\n" );
document.write( "find center of ellipse x^2+4y+6x-8y+9=0 <BR>\n" );
document.write( "mainly i just need to know how to get this in the right form, and then I think I'm good from there on figuring out the center, etc. I completed the square and got (x+3)^2+4(y-1)^2=1, but there is still the 4 in front of the (y-1)^2 - how do i get rid of the 4 while keeping a 1 on the right side? <BR>\n" );
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document.write( "I will assume 4y was meant to be 4y^2<BR>\n" );
document.write( "Rewriting the equation:<BR>\n" );
document.write( "x^2+4y^2+6x-8y+9=0<BR>\n" );
document.write( "completing the square<BR>\n" );
document.write( "(x^2+6x+9)+4(y^2-2y+1)=-9+9+4=4  (<--This is where you made a small error)<BR>\n" );
document.write( "(x+3)^2+4(y-1)^2=4<BR>\n" );
document.write( "divide by 4<BR>\n" );
document.write( "(x+3)^2/4+(y-1)^2=1 </SPAN>\n" );
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