document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204696>Question 1204696</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Transform the equation of the hyperbola from standard from into general form<BR>\n" );
document.write( "(y^2)/36  -  (x^2)/16 = 1\r<BR>\n" );
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document.write( "(9x^2)  -  (4y^2) + 144 = 0 is the answer\r<BR>\n" );
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document.write( "But I keep getting (-9x^2) + (4y^2)  -  144 = 0\r<BR>\n" );
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document.write( "Why are all my positive and negative signs reversed? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #841129 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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/cgi-bin/show-face.mpl?user=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=841129\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The general form of a hyperbola is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Ax%5E2+%2B+Bx+%2B+Cy%5E2+%2B+Dy+%2B+E+=+0 ALIGN=MIDDLE  ALT=\"Ax%5E2+%2B+Bx+%2B+Cy%5E2+%2B+Dy+%2B+E+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "where either <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+ ALIGN=MIDDLE  ALT=\"C+\"   DISABLED_style= \"max-width:90%; height:auto;\" >is negative (but never both)\r<BR>\n" );
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document.write( "respecting alphabetic order, let say <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" > is positive and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C ALIGN=MIDDLE  ALT=\"C\"   DISABLED_style= \"max-width:90%; height:auto;\" > is negative\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Ax%5E2+%2B+Bx+-Cy%5E2+%2B+Dy+%2B+E+=+0 ALIGN=MIDDLE  ALT=\"Ax%5E2+%2B+Bx+-Cy%5E2+%2B+Dy+%2B+E+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "in this case hyperbola opens up and down, just as in your case\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E2%29%2F36+-+%28x%5E2%29%2F16+=+1 ALIGN=MIDDLE  ALT=\"%28y%5E2%29%2F36+-+%28x%5E2%29%2F16+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >....both sides multiply by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36%2A16 ALIGN=MIDDLE  ALT=\"36%2A16\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16y%5E2-+36x%5E2+=+36%2A16 ALIGN=MIDDLE  ALT=\"16y%5E2-+36x%5E2+=+36%2A16\"   DISABLED_style= \"max-width:90%; height:auto;\" >... simplify, divide by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y%5E2-+9x%5E2+=+36%2A4 ALIGN=MIDDLE  ALT=\"4y%5E2-+9x%5E2+=+36%2A4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y%5E2-+9x%5E2+-144=0 ALIGN=MIDDLE  ALT=\"4y%5E2-+9x%5E2+-144=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.... <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=-9 ALIGN=MIDDLE  ALT=\"A=-9\"   DISABLED_style= \"max-width:90%; height:auto;\" >, to make it positive multiply equation by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4y%5E2%2B9x%5E2+%2B144=0 ALIGN=MIDDLE  ALT=\"-4y%5E2%2B9x%5E2+%2B144=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >...rearrange\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2+-4y%5E2%2B144=0 ALIGN=MIDDLE  ALT=\"9x%5E2+-4y%5E2%2B144=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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