document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=752402>Question 752402</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the equation of the ellipse , eccentricity = 4/5 , a centre at (0,0) and foci (+-8,0)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #457719 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=457719\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You want to fill in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > with the particular values.  Center is at the origin so no need to worry about x and y translation.  The focal distance according to your given foci is c=8.\r<BR>\n" );
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document.write( "If eccentricity is 4/5, then you have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F5=c%2Fa ALIGN=MIDDLE  ALT=\"4%2F5=c%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  You can find a.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fc=5%2F4 ALIGN=MIDDLE  ALT=\"a%2Fc=5%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=5c%2F4=5%2A8%2F4=highlight%2810%29 ALIGN=MIDDLE  ALT=\"a=5c%2F4=5%2A8%2F4=highlight%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Next, find b.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2=b%5E2%2Bc%5E2 ALIGN=MIDDLE  ALT=\"a%5E2=b%5E2%2Bc%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2=a%5E2-c%5E2 ALIGN=MIDDLE  ALT=\"b%5E2=a%5E2-c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You do not quite need b for filling in that part of the equation but you still have the value in the form of its square.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2=10%5E2-8%5E2=100-64=highlight%2836%29 ALIGN=MIDDLE  ALT=\"b%5E2=10%5E2-8%5E2=100-64=highlight%2836%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%5E2%2F64%2By%5E2%2F36=1%29 ALIGN=MIDDLE  ALT=\"highlight%28x%5E2%2F64%2By%5E2%2F36=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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