document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=893725>Question 893725</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An ellipse with horizontal major axis, center at (4,3), its major axis is twice as long as its minor axis, passes through P(2,1). Find its equation. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #541464 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=541464\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An ellipse with horizontal major axis, center at (4,3), its major axis is twice as long as its minor axis, passes through P(2,1). Find its equation.<BR>\n" );
document.write( "***<BR>\n" );
document.write( "Standard form of equation for an ellipse with horizontal major axis: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, a>b, (h,k)=coordinates of center<BR>\n" );
document.write( "..<BR>\n" );
document.write( "given center: (4,3)<BR>\n" );
document.write( "a=2b<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282-4%29%5E2%2F%282b%29%5E2%2B%281-3%29%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"%282-4%29%5E2%2F%282b%29%5E2%2B%281-3%29%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2%29%5E2%2F%282b%29%5E2%2B%28-2%29%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"%28-2%29%5E2%2F%282b%29%5E2%2B%28-2%29%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F4b%5E2%2B4%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"4%2F4b%5E2%2B4%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fb%5E2%2B4%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"1%2Fb%5E2%2B4%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "5/b^2=1<BR>\n" );
document.write( "b^2=5<BR>\n" );
document.write( "b=&#8730;5<BR>\n" );
document.write( "a=2b=2&#8730;5<BR>\n" );
document.write( "a^2=20<BR>\n" );
document.write( "Equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-4%29%5E2%2F20%2B%28y-3%29%5E2%2F5=1 ALIGN=MIDDLE  ALT=\"%28x-4%29%5E2%2F20%2B%28y-3%29%5E2%2F5=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );