document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=696345>Question 696345</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write the standard form of the equation and state what conic section.\r<BR>\n" );
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document.write( "9x^2-4y^2+18x+8-31=0\r<BR>\n" );
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document.write( "Do not understand how to do this what so ever. Was absent the day the teacher taught it. Please help. Thank you!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #428954 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=428954\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> write the standard form of the equation and state what conic section. <BR>\n" );
document.write( "9x^2-4y^2+18x+8y-31=0 <BR>\n" );
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document.write( "Complete the square on the x-terms and on the y-terms:<BR>\n" );
document.write( "9(x^2 + 2x + 1) - 4(y^2 + 2y + 1) = 31 + 9 - 4<BR>\n" );
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document.write( "9(x+1)^2 - 4(y+1)^2 = 36<BR>\n" );
document.write( "----<BR>\n" );
document.write( "(x+1)^2/4 - (y+1)^2/9 = 1<BR>\n" );
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document.write( "Hyperbola with center at (-1,-1)<BR>\n" );
document.write( "semi-minor axis = 2<BR>\n" );
document.write( "semi-major axis = 3<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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