document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=473988>Question 473988</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Show that the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%29%2F%285-C%29+%2B+%28y%5E2%29%2F%289-C%29+=+1 ALIGN=MIDDLE  ALT=\"%28x%5E2%29%2F%285-C%29+%2B+%28y%5E2%29%2F%289-C%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > represents<BR>\n" );
document.write( "an ellipse if C is any constant less than 5.<BR>\n" );
document.write( "a hyperbola if C is any constant bewteen 5 and 9.<BR>\n" );
document.write( "no real locus if C is greater than 9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #325345 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=325345\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> All you need to know are the general forms of an ellipse and hyperbola. If C > 5, both denominators will be positive; if 5 < C < 9, the 5-C denominator will be negative and 9-C will be positive, and if C > 9, both terms on the LHS will be negative (or zero) and their sum cannot be 1. </SPAN>\n" );
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