document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=683687>Question 683687</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write an equation for the ellipse\r<BR>\n" );
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document.write( "Eccentricity 3/4; foci (0,-2) (0,2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #423762 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=423762\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write an equation for the ellipse <BR>\n" );
document.write( "Eccentricity 3/4; foci (0,-2) (0,2)<BR>\n" );
document.write( "This is an ellipse with vertical major axis.<BR>\n" );
document.write( "its standard form of equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, a>b, (h,k)=(x,y) coordinates of center<BR>\n" );
document.write( "For given ellipse:<BR>\n" );
document.write( "center: (0,0)<BR>\n" );
document.write( "c=2 (center to focus)<BR>\n" );
document.write( "c^2=4<BR>\n" );
document.write( "eccentricity:=3/4=c/a<BR>\n" );
document.write( "a=4c/3=16/3<BR>\n" );
document.write( "a^2=256/9<BR>\n" );
document.write( "c^2=a^2-b^2<BR>\n" );
document.write( "b^2=a^2-c^2=256/9-4=256/9-36/9=220/9<BR>\n" );
document.write( "Equation: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2%2F220%2B9y%5E2%2F256=1 ALIGN=MIDDLE  ALT=\"9x%5E2%2F220%2B9y%5E2%2F256=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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