document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=586649>Question 586649</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to put this euqation into standard form. (Then find the center, vertices, foci, and asympotote- all those I know how to do. I just don't know how to put it in standard form, first!) Please help?! \r<BR>\n" );
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document.write( "Equation: 9x^2 - 4y^2 + 18x + 32y - 91 = 0 \r<BR>\n" );
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document.write( "So far I wrote down: <BR>\n" );
document.write( "(9x^2 + 18x) + (-4y^2 + 32y) = 91<BR>\n" );
document.write( "1/2 (2) = 1^2 = 1<BR>\n" );
document.write( "1/2 (8) = 4^2 = 16<BR>\n" );
document.write( "9(x^2x+1)-4(y^2-8y+16) = 91 + 16 + 1<BR>\n" );
document.write( "9(x^2x+1)-4(y^2-8y+16) = 108\r<BR>\n" );
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document.write( "And, I am stuck after that... help?? <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #373848 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=373848\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need to put this euqation into standard form. (Then find the center, vertices, foci, and asympotote- all those I know how to do. I just don't know how to put it in standard form, first!) Please help?! <BR>\n" );
document.write( "Equation: 9x^2 - 4y^2 + 18x + 32y - 91 = 0 <BR>\n" );
document.write( "complete the squares<BR>\n" );
document.write( "9(x^2+2x+1) - 4(y^2-8y+16)= 91+9-64<BR>\n" );
document.write( "9(x+1)^2-4(y-4)^2=36<BR>\n" );
document.write( "divide by 36<BR>\n" );
document.write( "(x+1)^2/4-(y-4)^2/9=1<BR>\n" );
document.write( "This is an equation of a hyperbola with horizontal transverse axis.<BR>\n" );
document.write( "center: (-1,4)<BR>\n" );
document.write( "a^2=4<BR>\n" );
document.write( "b^2=9<BR>\n" );
document.write( "I will let you do the rest as you said you knew how. </SPAN>\n" );
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