document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1087194>Question 1087194</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 22. What type of conic section is this equation: 4x^2 + 9y^2 = 36?<BR>\n" );
document.write( "a. circle<BR>\n" );
document.write( "b. ellipse<BR>\n" );
document.write( "c. hyperbola<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #701464 by </B><A HREF=/tutors/aboutme.mpl?userid=mathmate><B>mathmate(429)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathmate><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=mathmate><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=701464\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Question:<BR>\n" );
document.write( "What type of conic section is this equation: 4x^2 + 9y^2 = 36?<BR>\n" );
document.write( "a. circle<BR>\n" );
document.write( "b. ellipse<BR>\n" );
document.write( "c. hyperbola<BR>\n" );
document.write( " <BR>\n" );
document.write( "Solution:<BR>\n" );
document.write( "Circles have the coefficients of x^2 and y^2 identical in value and in sign (not the case here)<BR>\n" );
document.write( "Hyperbolas have opposing signs between the coefficients of x^2 and y^2 (not the case here)<BR>\n" );
document.write( "Ellipses have the coefficients have the same sign, but different values.  (case here)\r<BR>\n" );
document.write( "\n" );
document.write( "Note that in all cases, first degree terms may be present without changing the above.  Also xy terms may be present in cases where the conic section is rotated from the x-y axes. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );