document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=553907>Question 553907</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the Vertices and the foci of the hyperbola. y^2/5-x^2/11=1. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #361110 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=361110\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the Vertices and the foci of the hyperbola. y^2/5-x^2/11=1<BR>\n" );
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document.write( "y^2/5-x^2/11=1<BR>\n" );
document.write( "This is an equation of a hyperbola with vertical transverse axis of the standard form: <BR>\n" );
document.write( "(y-k)^2/a^2-(x-h)^2/b^2=1, (h,k) being the (x,y) coordinates of the center:<BR>\n" );
document.write( "For given equation:<BR>\n" );
document.write( "center:(0,0)<BR>\n" );
document.write( "a^2=5<BR>\n" );
document.write( "a=&#8730;5&#8776;2.24<BR>\n" );
document.write( "..<BR>\n" );
document.write( "b^2=11<BR>\n" );
document.write( "b=&#8730;11&#8776;3.32<BR>\n" );
document.write( "..<BR>\n" );
document.write( "c^2=a^2+b^2=5+11=16<BR>\n" );
document.write( "c=&#8730;16=4<BR>\n" );
document.write( "..<BR>\n" );
document.write( "vertices: (0,0±a), (0,0±&#8730;5)=(0,2.24) and (0,-2.24)<BR>\n" );
document.write( "foci: (0,0±c), (0,0±4)=(0,4) and (0,-4) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );