document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=508863>Question 508863</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me put the following ellipse equation into standard form.\r<BR>\n" );
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document.write( "5x^2+4y^2-30x+8y+29=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #341426 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=341426\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> please help me put the following ellipse equation into standard form.<BR>\n" );
document.write( "5x^2+4y^2-30x+8y+29=0<BR>\n" );
document.write( "complete the square<BR>\n" );
document.write( "5(x^2+6x+9)+4(y^2+2y+1)=-29+45+4=20<BR>\n" );
document.write( "5(x+3)^2+4(y+1)^2=20<BR>\n" );
document.write( "divide by 20<BR>\n" );
document.write( "(x+3)^2/4+(y+1)^2/5=1<BR>\n" );
document.write( "This is an equation of an ellipse with vertical major axis of the standard form:<BR>\n" );
document.write( "(x-h)^2/b^2+(y-k)^2/a^2=1, (a>b), with(h,k) being the (x,y) coordinates of the center </SPAN>\n" );
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