document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=744040>Question 744040</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Classify the conic section and write its ezuation in standard form. Then graph the equation.<BR>\n" );
document.write( "4x^2+9y^2+40x+72y+208=0\r<BR>\n" );
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document.write( "It is an ellipse. I Completed the square and all that but I can't factor it after that.. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #453306 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=453306\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Classify the conic section and write its equation in standard form. Then graph the equation.<BR>\n" );
document.write( "4x^2+9y^2+40x+72y+208=0<BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "4x^2+40x+9y^2+72y+208=0<BR>\n" );
document.write( "4(x^2+10x+25)+9(y^2+8y+16)=-208+100+144<BR>\n" );
document.write( "4(x+5)^2+9(y+4)^2=36<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B5%29%5E2%2F9%2B%28y%2B4%29%5E2%2F4=1 ALIGN=MIDDLE  ALT=\"%28x%2B5%29%5E2%2F9%2B%28y%2B4%29%5E2%2F4=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Given conic section is an ellipse with horizontal major axis with center at (-5,-4)<BR>\n" );
document.write( "y=±(4-4(x+5)^2/9)^.5-4<BR>\n" );
document.write( "see graph below as a visual check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C10%2C+-10%2C+10%2C%284-4%28x%2B5%29%5E2%2F9%29%5E.5-4%2C-%284-4%28x%2B5%29%5E2%2F9%29%5E.5-4%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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