document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=752196>Question 752196</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given    9 x²-4y²+18x+56y-223=0<BR>\n" );
document.write( "Name the conic section, and how would you know?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #457855 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=457855\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given 9 x²-4y²+18x+56y-223=0<BR>\n" );
document.write( "Name the conic section, and how would you know?<BR>\n" );
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document.write( "9x²-4y²+18x+56y-223=0<BR>\n" );
document.write( "complete the square<BR>\n" );
document.write( "9x²+18x-4y²+56y-223=0<BR>\n" );
document.write( "9(x²+2x+1)-4(y²+14y+49)=223+9-196<BR>\n" );
document.write( "9(x+1)^2-4(y+7)^2=36<BR>\n" );
document.write( "(x+1)^2/4-(y+7)^2/9=1<BR>\n" );
document.write( "This conic is a hyperbola with horizontal transverse axis with center at (-1,-7)<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-%28y-k%29%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, (h,k)=(x,y) coordinates of center\r<BR>\n" );
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