document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=546258>Question 546258</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the type of curve represented by the equation 36x^2-4y^2-36x-8y=31 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #361140 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=361140\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine the type of curve represented by the equation <BR>\n" );
document.write( "36x^2-4y^2-36x-8y=31<BR>\n" );
document.write( "complete the square<BR>\n" );
document.write( "36(x^2-x+1/4)-4(y^2+2y+1)=31+9-4<BR>\n" );
document.write( "36(x-1/2)^2-4(y+1)^2=36<BR>\n" );
document.write( "divide by 36<BR>\n" );
document.write( "(x-1/2)^2/1-(y+1)^2/9=1<BR>\n" );
document.write( "This equation is that of a hyperbola with horizontal transverse axis. </SPAN>\n" );
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