document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=83338>Question 83338</A>: <I><SPAN STYLE=\"word-break: break-all;\"> classify the conic section defined by the equation.  write the standard equation of the conic section:<BR>\n" );
document.write( "9x^2-90x+4y^2+16y+205=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59831 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=59831\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 9x^2-90x+4y^2+16y+205=0<BR>\n" );
document.write( "9(x^2-10x+(10/2)^2) + 4(y^2+4y+(4/2)^2) = -205+9*25+4*4<BR>\n" );
document.write( "9(x-5)^2 + 4(y+2)^2 = -205 + 225 +16 = 36<BR>\n" );
document.write( "Divide thru by 36 to get:<BR>\n" );
document.write( "[(x-5)^2]/4 + [(y+2)^2]/9 = 1<BR>\n" );
document.write( "The conic is an ellipse.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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