document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=568943>Question 568943</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How would I find the equation of an ellipse if I am give the foci(5,0) and (-5,0) and the length of major axis is 12 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #367179 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=367179\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How would I find the equation of an ellipse if I am give the foci(5,0) and (-5,0) and the length of major axis is 12<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Standard form of equation for ellipse with horizontal major axis: <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( "..<BR>\n" );
document.write( "center: (0,0)<BR>\n" );
document.write( "length of major axis=12=2a<BR>\n" );
document.write( "a=6<BR>\n" );
document.write( "a^2=36<BR>\n" );
document.write( "..<BR>\n" );
document.write( "c=5<BR>\n" );
document.write( "c^2=25<BR>\n" );
document.write( "..<BR>\n" );
document.write( "c^2=a^2-b^2<BR>\n" );
document.write( "b^2=a^2-c^2=36-25=11<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Equation of given ellipse:<BR>\n" );
document.write( "x^2/36+y^2/11=1<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );