document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1168977>Question 1168977</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Conjugate axis along the y-axis, ome vertex at (0,7), asymptotes are 6x-5y+30=0 and 6x+5y-30=0. Need help finding the Equation of this hyperbola. How?<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 #852002 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=852002\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Conjugate axis along the y-axis, one vertex at (0,7), asymptotes are 6x-5y+30=0 and 6x+5y-30=0. <BR>\n" );
document.write( "Need help finding the Equation of this hyperbola. How?<BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Regarding this post, &nbsp;I have two notices.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "First notice is that the problem's formulation is &nbsp;INCORRECT &nbsp;and &nbsp;SELF-CONTRADICTORY.<BR>\n" );
document.write( "It describes a situation which &nbsp;NEVER &nbsp;may happen in reality.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Indeed, &nbsp;the problem says that conjugate axis of the hyperbola is along &nbsp;y-axis,<BR>\n" );
document.write( "one vertex is &nbsp;(0,7) &nbsp;and the asymptotes are &nbsp;6x-5y+30 = 0 &nbsp;and &nbsp;6x+5y-30 = 0.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "From equations, &nbsp;the center of the hyperbola is &nbsp;(x,y) = (0,6).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Together with the information about &nbsp;\" one vertex \", &nbsp;it means that transverse axis is vertical y-axis, <BR>\n" );
document.write( "and it contradicts that the conjugate axis is &nbsp;y-axis, &nbsp;as stated in the post.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;It disproves the problem, &nbsp;kills it to the death and ruins it into dust.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Second notice is that the solution in the post by @CPhill is &nbsp;TOTALLY &nbsp;and &nbsp;FATALLY &nbsp;incorrect,<BR>\n" );
document.write( "starting from his first two lines, &nbsp;where he writes an equation of the hyperbola in &nbsp;WRONG &nbsp;FORM.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So, &nbsp;the problem itself is &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%28IDIOTIC%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%28IDIOTIC%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, &nbsp;as well as its &nbsp;\" solution \" &nbsp;produced and presented by @CPhill.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "For the peace in your mind, &nbsp;my dear reader, &nbsp;ignore both the problem and its &nbsp;\" solution \" &nbsp;by @CPhill.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;A right place for such compositions is a trash bin.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );