document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=564980>Question 564980</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The problem is 9y^2+18y=25x^2+216\r<BR>\n" );
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document.write( "I have tried over and over to solve this and I keep getting odd numbers. I do not know how to get it into standard form correctly or get a, b, or c to graph it. Help!!\r<BR>\n" );
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document.write( "Thank you,<BR>\n" );
document.write( "Kaite </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #365552 by </B><A HREF=/tutors/aboutme.mpl?userid=issacodegard><B>issacodegard(60)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=issacodegard><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=issacodegard><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=365552\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, the equation of a hyperbola is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28X%5E2%29%2F%28a%5E2%29-%28Y%5E2%29%2F%28b%5E2%29=1 ALIGN=MIDDLE  ALT=\"%28X%5E2%29%2F%28a%5E2%29-%28Y%5E2%29%2F%28b%5E2%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, consider the left hand side of the equation given in the problem.  We can complete the square by adding 9 to both sides.  This gives us:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%28y%2B1%29%5E2=25x%5E2%2B225 ALIGN=MIDDLE  ALT=\"9%28y%2B1%29%5E2=25x%5E2%2B225\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Rearranging, and letting X=x, Y=y+1, we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28X%5E2%29%2F%28225%2F25%29-%28Y%5E2%29%2F%28225%2F9%29=1 ALIGN=MIDDLE  ALT=\"%28X%5E2%29%2F%28225%2F25%29-%28Y%5E2%29%2F%28225%2F9%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is the equation of a hyperbola for say z and w:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z%5E2%29%2F%28225%2F25%29-%28w%5E2%29%2F%28225%2F9%29=1 ALIGN=MIDDLE  ALT=\"%28z%5E2%29%2F%28225%2F25%29-%28w%5E2%29%2F%28225%2F9%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Shifted one unit down (we would need to take w=y+1 to get the equation given in X,Y) </SPAN>\n" );
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