document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=894115>Question 894115</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the hyperbola which satisfies the given condition Center (0,0), transverse axis along y-axis, passing through thepoints (5,3) and (-3,2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #542045 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=542045\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the hyperbola which satisfies the given condition Center (0,0), transverse axis along y-axis, passing through thepoints (5,3) and (-3,2)<BR>\n" );
document.write( "***<BR>\n" );
document.write( "Given hyperbola has a vertical transverse axis:<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( "using coordinates of 2 given points, (5,3) and (-3,2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E2%2Fa%5E2-5%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"3%5E2%2Fa%5E2-5%5E2%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%5E2%2Fa%5E2-%28-3%29%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"2%5E2%2Fa%5E2-%28-3%29%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<BR>\n" );
document.write( "9/a^2-25/b^2=1<BR>\n" );
document.write( "4/a^2-9/b^2=1<BR>\n" );
document.write( "..<BR>\n" );
document.write( "36/a^2-100/b^2=4<BR>\n" );
document.write( "36/a^2-81/b^2=9<BR>\n" );
document.write( "subtract:<BR>\n" );
document.write( "-19/b^2=-5<BR>\n" );
document.write( "b^2=19/5<BR>\n" );
document.write( "..<BR>\n" );
document.write( "81/a^2-225/b^2=9<BR>\n" );
document.write( "100/=a^2-225/b^2=25<BR>\n" );
document.write( "subtract:<BR>\n" );
document.write( "-19/a^2=-16<BR>\n" );
document.write( "a^2=19/16<BR>\n" );
document.write( "equation: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2F%2819%2F16%29-x%5E2%2F%2819%2F5%29=1 ALIGN=MIDDLE  ALT=\"y%5E2%2F%2819%2F16%29-x%5E2%2F%2819%2F5%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );