document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=407754>Question 407754</A>: <I><SPAN STYLE=\"word-break: break-all;\"> classify the conic <BR>\n" );
document.write( "x^2-4y^2+3x-26y-30=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #287349 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=287349\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> classify the conic<BR>\n" );
document.write( "x^2-4y^2+3x-26y-30=0\r<BR>\n" );
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document.write( "..\r<BR>\n" );
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document.write( "x^2-4y^2+3x-26y-30=0<BR>\n" );
document.write( "completing the squares<BR>\n" );
document.write( "(x^2-3x+9/4)-4(y^2+(26/4)y+(169/16)=30+9/4-(169/4)<BR>\n" );
document.write( "(x-3/2)^2-4(y+13/4)^2=-40/4=-10<BR>\n" );
document.write( "multiply by (-1)<BR>\n" );
document.write( "4(y+13/4)^2-(x-3/2)^2=10<BR>\n" );
document.write( "divide by 10<BR>\n" );
document.write( "((y+13/4)^2)/(10/4)-((x-3/2)^2)/10=1\r<BR>\n" );
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document.write( "ans: This is a hyperbola with centers at (3/2-13/4) and vertical transverse axis. Also, a^2=10/4 and b^2=10<BR>\n" );
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document.write( " </SPAN>\n" );
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