document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=774474>Question 774474</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation in standard form for the hyperbola with center (5, 0), co-vertex (6, 0), and focus (5, radical 37)\r<BR>\n" );
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document.write( "How do you work backwards on this?? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #472336 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=472336\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write the equation in standard form for the hyperbola with center (5, 0), co-vertex (6, 0), and focus (5, radical 37) <BR>\n" );
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document.write( "Given hyperbola has a vertical transverse axis(gleaned from given focus coordinates)<BR>\n" );
document.write( "Its standard form of equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-k%29%5E2%2Fa%5E2-%28x-h%29%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"%28y-k%29%5E2%2Fa%5E2-%28x-h%29%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, (h,k)=(x,y) coordinates of center<BR>\n" );
document.write( "center:(5,0)<BR>\n" );
document.write( "b=6 (co-vertex)<BR>\n" );
document.write( "b^2=36<BR>\n" );
document.write( "c=&#8730;37 (focus)<BR>\n" );
document.write( "c^2=37<BR>\n" );
document.write( "c^2=a^2+b^2<BR>\n" );
document.write( "a^2=c^2-b^2=37-36=1<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2-%28x-5%29%5E2%2F36=1 ALIGN=MIDDLE  ALT=\"y%5E2-%28x-5%29%5E2%2F36=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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