document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=43859>Question 43859</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write 36x^2-360x-25y^2-100y=100 in standard form.  Then state whether the graphs of the equation is a parabola, circle, ellipse, or hyperbola.\r<BR>\n" );
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document.write( "Thank You </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #28863 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=28863\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> From 36x^2 - 360x - 25y^2 - 100y = 100,<BR>\n" );
document.write( "factor and complete squares to get<BR>\n" );
document.write( "36(x^2 - 10x) - 25(y^2 + 4y) = 100<BR>\n" );
document.write( "36(x^2 - 10x + 25) - 25(y^2 + 4y + 4) = 100 + 900 - 100<BR>\n" );
document.write( "36(x - 5)^2 - 25(y + 2)^2 = 900<BR>\n" );
document.write( "now divide by 900<BR>\n" );
document.write( "(x - 5)^2/25 - (y + 2)^2/36 = 1<BR>\n" );
document.write( "This is a hyperbola. </SPAN>\n" );
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