document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=970906>Question 970906</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Classify the conic section and write its equation in standard form.<BR>\n" );
document.write( "x^2-4y^2-6x-16y+29=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #593534 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=593534\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2-4y^2-6x-16y+29=0\r<BR>\n" );
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document.write( "x^2-6x  -4y^2-16y  = -29\r<BR>\n" );
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document.write( "rewrite<BR>\n" );
document.write( "x^2-6x - 4(y^2+4y) = -29\r<BR>\n" );
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document.write( "complete the square\r<BR>\n" );
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document.write( "x^2-6x+9- 4 (y^2+4y+4) =  -29   + 9 (from x) -16 (from y) = -36\r<BR>\n" );
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document.write( "(x-3)^2 - 4(y+2)^2 =-36<BR>\n" );
document.write( "Divide by 36\r<BR>\n" );
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document.write( "[(x-3)^2/36} - [(y+2)^2]/9 = -1\r<BR>\n" );
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document.write( "This is a hyperbola. </SPAN>\n" );
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