document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=860016>Question 860016</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equations of the hyperbola satisfying the given conditions.\r<BR>\n" );
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document.write( "Asymptotes y=3/2x and y=-3/2x, and one vertex (2,0). \r<BR>\n" );
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document.write( "Please help! I have a test tomorrow and have no idea how to solve this kind of problem! Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #518507 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=518507\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equations of the hyperbola satisfying the given conditions. <BR>\n" );
document.write( "Asymptotes y=3/2x and y=-3/2x, and one vertex (2,0).<BR>\n" );
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document.write( "given hyperbola has a horizontal transverse axis with center at origin.<BR>\n" );
document.write( "Its standard form of equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Fa%5E2-y%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"x%5E2%2Fa%5E2-y%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a=2<BR>\n" );
document.write( "a^2=4<BR>\n" );
document.write( "slopes of asymptotes=±3/2=b/a<BR>\n" );
document.write( "b=±3a/2=±3<BR>\n" );
document.write( "b^2=9<BR>\n" );
document.write( "Equation of given hyperbola:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F4-y%5E2%2F9=1 ALIGN=MIDDLE  ALT=\"x%5E2%2F4-y%5E2%2F9=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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