document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=825770>Question 825770</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of hyperbola whose focip(0,root 10) passing through (2,3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #497659 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=497659\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation of hyperbola whose focip(0,root 10) passing through (2,3)<BR>\n" );
document.write( "***<BR>\n" );
document.write( "hyperbola has a vertical transverse axis with center at the origin (0,0)<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( "c=&#8730;10<BR>\n" );
document.write( "c^2=a^2+b^2<BR>\n" );
document.write( "10=a^2+b^2<BR>\n" );
document.write( "b^2=10-a^2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Fa%5E2-4%2F%2810-a%5E2%29=1 ALIGN=MIDDLE  ALT=\"9%2Fa%5E2-4%2F%2810-a%5E2%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "90-9a^2-4a^2=a^2(10-a^2)<BR>\n" );
document.write( "90-13a^2=10a^2-a^4<BR>\n" );
document.write( "a^4-23a^2+90=0<BR>\n" );
document.write( "let u=a^2<BR>\n" );
document.write( "u^2-23u+90=0<BR>\n" );
document.write( "(u-5)(u-18)=0<BR>\n" );
document.write( "u=5=a^2<BR>\n" );
document.write( "a^2=5<BR>\n" );
document.write( "b^2=10-a^2=10-5<BR>\n" );
document.write( "b^2=5<BR>\n" );
document.write( "or<BR>\n" );
document.write( "u=18=a^2<BR>\n" );
document.write( "a^2=18<BR>\n" );
document.write( "b^2=10-18=-8 (reject)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2F5-x%5E2%2F5=1 ALIGN=MIDDLE  ALT=\"y%5E2%2F5-x%5E2%2F5=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );