document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=519702>Question 519702</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find an equation of the ellipse with foci at (-5,0) and (5,0) and minor axis of length 24. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #345898 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=345898\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find an equation of the ellipse with foci at (-5,0) and (5,0) and minor axis of length 24.<BR>\n" );
document.write( "**<BR>\n" );
document.write( "This is an equation of an ellipse with horizontal major axis of the standard form:<BR>\n" );
document.write( "(x-h)^2/a^2+(y-k)^2/b^2=1, a>b, (h,k) being the (x,y) coordinates of the center.<BR>\n" );
document.write( "For given equation:<BR>\n" );
document.write( "based on foci coordinates, center at (0,0)<BR>\n" );
document.write( "2b=length of minor axis=24<BR>\n" );
document.write( "b=12<BR>\n" );
document.write( "b^2=144<BR>\n" );
document.write( "c=5<BR>\n" );
document.write( "c^2=25<BR>\n" );
document.write( "c^2=a^2-b^2<BR>\n" );
document.write( "a^2=c^2+b^2=25+144=169<BR>\n" );
document.write( "a=&#8730;169=13<BR>\n" );
document.write( "Equation of given ellipse:<BR>\n" );
document.write( "(x-0)^2/169+(y-0)^2/144=1<BR>\n" );
document.write( "x^2/169+y^2/144=1 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );