document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=410616>Question 410616</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write the equation of the ellipse with foci at (+/-2,0) and x intercepts at +/-5. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #289049 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=289049\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> write the equation of the ellipse with foci at (+/-2,0) and x intercepts at +/-5.\r<BR>\n" );
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document.write( "Standard form of given ellipse: x^2/a^2+y^2/b^2=1<BR>\n" );
document.write( "This is an ellipse with a horizontal major axis on the line, y=0<BR>\n" );
document.write( "foci at (-2,0) and (2,0)<BR>\n" );
document.write( "so, c=2<BR>\n" );
document.write( "c^2=4<BR>\n" );
document.write( "x-intercepts are also on line, y=0, which are also the vertex points,(-5,0) and (5,0)<BR>\n" );
document.write( "so, a=5<BR>\n" );
document.write( "a^2=25<BR>\n" );
document.write( "c^2=a^2-b^2<BR>\n" );
document.write( "b^2=a^2-c^2<BR>\n" );
document.write( "b=sqrt(25-4)=sqrt(21)<BR>\n" );
document.write( "b^2=21<BR>\n" );
document.write( "Equation of ellipse:<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "x^2/25+y^2/21=1<BR>\n" );
document.write( "see graph below:\r<BR>\n" );
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document.write( "..<BR>\n" );
document.write( "y=+-((525-21x^2)/25)^.5\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+%28%28525-21x%5E2%29%2F25%29%5E.5%2C-%28%28525-21x%5E2%29%2F25%29%5E.5%0D%0A%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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