document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=816974>Question 816974</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve 9x^2+25y^2-36x+50y-164=0\r<BR>\n" );
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document.write( "I know I have to solve by completing the square, but my answer does not match up to the one in back of book. When I completed the square I got:\r<BR>\n" );
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document.write( "9x^2-36x+324+25y^2+50y+625=1113\r<BR>\n" );
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document.write( "I don't think I am completing the square correctly???\r<BR>\n" );
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document.write( "(36/2)^2, I got 18^2 =324 and (50/2)^2, I got 25^2=625.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #491891 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=491891\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 9x^2+25y^2-36x+50y-164=0 <BR>\n" );
document.write( "rearrange terms:<BR>\n" );
document.write( "9x^2-36x+25y^2+50y=164<BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "9(x^2-4x+4)+25(y^2+2y+1)=164+36+25<BR>\n" );
document.write( "9(x-2)^2+25(y+1)^2=225<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2%2F25%2B%28y%2B1%29%5E2%2F9=1 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2%2F25%2B%28y%2B1%29%5E2%2F9=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is an equation of an ellipse with horizontal major axis.<BR>\n" );
document.write( "Its standard form of equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, (h,k)=(x,y) coordinates of center.<BR>\n" );
document.write( "For given ellipse:<BR>\n" );
document.write( "center: (2,-1)<BR>\n" );
document.write( "a^2=25<BR>\n" );
document.write( "b^2=9\r<BR>\n" );
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