document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=856821>Question 856821</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to find the foci, the center and the vertices of an ellipse<BR>\n" );
document.write( "Equation: (x+50)^2/25 + (y-80)^2/10 < 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #516165 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=516165\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need to find the foci, the center and the vertices of an ellipse<BR>\n" );
document.write( "Equation:(x+50)^2/25 + (y-80)^2/10 = 1<BR>\n" );
document.write( "given ellipse has a horizontal major axis<BR>\n" );
document.write( "center: (-50,80)<BR>\n" );
document.write( "a^2=25<BR>\n" );
document.write( "a=5<BR>\n" );
document.write( "vertices: (-50±a,80)=(-50±5,80)=(-55,80) and (-45,80)<BR>\n" );
document.write( "b^2=10<BR>\n" );
document.write( "c^2=a^2-b^2=25-10=15<BR>\n" );
document.write( "c=&#8730;15&#8776;3.87<BR>\n" );
document.write( "foci: (-50±c,80)=(-50±3.87,80)=(-53.87,80) and (-46.13,80) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );