document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=968003>Question 968003</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I'm looking for some guidance with this question, can anyone help?\r<BR>\n" );
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document.write( "For the following equation of a hyperbola determine the center, vertices, foci, and asymptotes:<BR>\n" );
document.write( "36x^2&#8722;y^2&#8722;24x+6y&#8722;41=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #591624 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=591624\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For the following equation of a hyperbola determine the center, vertices, foci, and asymptotes:<BR>\n" );
document.write( " 36x^2&#8722;y^2&#8722;24x+6y&#8722;41=0<BR>\n" );
document.write( "36(x^2-(24/36)x) - (y^2-6y) = 41<BR>\n" );
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document.write( "Complete the square::<BR>\n" );
document.write( "36(x^2 - (2/3)x + (1/3)^2) - (y^2-6y+9) = 41 + 36(1/9) - 9<BR>\n" );
document.write( "------<BR>\n" );
document.write( "36(x-(1/3)^2 - (y-3)^2 = 36<BR>\n" );
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document.write( "Rewrite:<BR>\n" );
document.write( "(x-(1/3))^2 - (y-3)^2/36 = 1<BR>\n" );
document.write( "a = 6 ; b = 1 ; c = sqrt(36+1) = sqrt(37)<BR>\n" );
document.write( "-------------------------------------<BR>\n" );
document.write( "center: (1/3, 3)<BR>\n" );
document.write( "vertices:: (1/3,3-6);(1/3,3+6)<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "foci:: ((1/3),-3-sqrt(37)),((1/3),9+sqrt(37))<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "asymptotes: I'll leave that to you<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "  </SPAN>\n" );
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