document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=769733>Question 769733</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation for the ellipse satisfying the given conditions:<BR>\n" );
document.write( "Ends of major axis (±6,0); passes through (2,3). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #469258 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=469258\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find an equation for the ellipse satisfying the given conditions:<BR>\n" );
document.write( "Ends of major axis (±6,0); passes through (2,3).<BR>\n" );
document.write( "***<BR>\n" );
document.write( "Given ellipse has a horizontal major axis.<BR>\n" );
document.write( "Its standard form of equation: <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)=(x,y) coordinates of the center<BR>\n" );
document.write( "center: (0,0)<BR>\n" );
document.write( "a=6 (distance from center to vertices)<BR>\n" );
document.write( "a^2=36<BR>\n" );
document.write( "solving for b using coordinates of given point (2,3)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F36%2By%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"x%5E2%2F36%2By%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=2%5E2%2F36%2B3%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"2%5E2%2F36%2B3%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%2F36%2B9%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"4%2F36%2B9%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "9/b^2=1-1/9=8/9<BR>\n" );
document.write( "b^2/9=9/8<BR>\n" );
document.write( "b^2=81/8<BR>\n" );
document.write( "Equation:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F36%2B8y%5E2%2F81=1 ALIGN=MIDDLE  ALT=\"x%5E2%2F36%2B8y%5E2%2F81=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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