document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=927237>Question 927237</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of an ellipse with center at the origin and passes through points [3, sqrt(7)] and [-sqrt(3), 3] </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #562833 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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/cgi-bin/show-face.mpl?user=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=562833\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Fa%5E2+%2B+y%5E2%2Fb%5E2+=+1 ALIGN=MIDDLE  ALT=\"x%5E2%2Fa%5E2+%2B+y%5E2%2Fb%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".....points [3, sqrt(7)] and [-sqrt(3), 3]<BR>\n" );
document.write( "9/a^2 + 7/b^2 = 1<BR>\n" );
document.write( "<u>-3(3/a^2 + 9b^2 = 1)</u><BR>\n" );
document.write( "-20/b^2) = -2<BR>\n" );
document.write( "b^2 = 10<BR>\n" );
document.write( ".......  <BR>\n" );
document.write( "9/a^2 + 7/10 = 1<BR>\n" );
document.write( "9/a^2 = 3/10<BR>\n" );
document.write( "a^2 = 30<BR>\n" );
document.write( ".........<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F30+%2B+y%5E2%2F10+=+1 ALIGN=MIDDLE  ALT=\"x%5E2%2F30+%2B+y%5E2%2F10+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C+++-6%2C+6%2C+-6%2C+6%2C+grid%281%29%2C+arc%280%2C0%2C2sqrt%2830%29%2C2sqrt%2810%29%29%2C+%0D%0Acircle%283%2C+sqrt%287%29%2C0.3%29%2C%0D%0Acircle%28-sqrt%283%29%2C+3%2C+0.3%29%2C%0D%0Acircle%280%2C0%2C+0.3%29%2C%0D%0Agraph%28+300%2C+300%2C+-6%2C+6%2C+-6%2C+6%2C0%29+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );