document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=970161>Question 970161</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find and equation for the hyperbola that satisfies the given conditions.<BR>\n" );
document.write( "Vertices: (0,14), (0,-14) and  passes through (-5,21) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #592984 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=592984\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find and equation for the hyperbola that satisfies the given conditions.<BR>\n" );
document.write( "Vertices: (0,14), (0,-14) and passes through (-5,21)<BR>\n" );
document.write( "***<BR>\n" );
document.write( "Given hyperbola has a vertical transverse axis and center at the origin.<BR>\n" );
document.write( "Its standard form of equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2Fa%5E2-x%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"y%5E2%2Fa%5E2-x%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a=14 (distance from center to vertices)<BR>\n" );
document.write( "a^2=196<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2Fa%5E2-x%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"y%5E2%2Fa%5E2-x%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "solve for b^2<BR>\n" );
document.write( "plug-in coordinates of given point on the curve(-5, 21)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21%5E2%2F14%5E2-%28-5%5E2%29%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"21%5E2%2F14%5E2-%28-5%5E2%29%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21%5E2%2F196-25%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"21%5E2%2F196-25%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.25-25%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"2.25-25%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "25/b^2=2.25-1=1.25<BR>\n" );
document.write( "b^2=25/1.25<BR>\n" );
document.write( "b^2=20<BR>\n" );
document.write( "equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2F196-x%5E2%2F20=1 ALIGN=MIDDLE  ALT=\"y%5E2%2F196-x%5E2%2F20=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );