document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=759157>Question 759157</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the standard form of the equation of the ellipse with the given characteristics and center at the origin.<BR>\n" );
document.write( "Vertices: (0, ±8); foci: (0, ±6) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #461889 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=461889\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The (main) vertices give you 'a', and the foci give you 'c'.  You use a and c to get an expression, and then a value for b.\r<BR>\n" );
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document.write( "Making a drawing and showing a triangle so one side is b, another side is c, the hypotenuse is a.  <BR>\n" );
document.write( "<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( "and based on what you are given,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2=8%5E2-6%5E2 ALIGN=MIDDLE  ALT=\"b%5E2=8%5E2-6%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=28 ALIGN=MIDDLE  ALT=\"b%5E2=28\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The center of the ellipse is the origin, so the equation is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%5E2%2F8%5E2%2By%5E2%2F28=1%29 ALIGN=MIDDLE  ALT=\"highlight%28x%5E2%2F8%5E2%2By%5E2%2F28=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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