document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=43395>Question 43395</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the length of the major and minor axes of an ellipse with the equation 16x2 + 25y2 + 32x - 150y = 159. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #28418 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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/cgi-bin/show-face.mpl?user=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=28418\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 16x^2 + 25y^2 + 32x - 150y = 159<BR>\n" );
document.write( "rearrange terms and get<BR>\n" );
document.write( "16x^2 + 32x + 25y^2 - 150y = 159<BR>\n" );
document.write( "now factor out and complete the squares<BR>\n" );
document.write( "16(x^2 + 2x + 1) + 25(y^2 - 6y + 9) = 159 + 16 + 225<BR>\n" );
document.write( "16(x + 1)^2 + 25(y - 3)^2 = 400<BR>\n" );
document.write( "(x + 1)^2 / 25 + (y - 3)^2 / 16 = 1<BR>\n" );
document.write( "The major axis is 2a, here since a^2 = 25, it is 10...<BR>\n" );
document.write( "The minor axis is 2b, here since b^2 = 16, it is 8... </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );