document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=476727>Question 476727</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Put the equation in standard form for an ellipse<BR>\n" );
document.write( "100x^2-200x+9y^2+18y=791 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #326877 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=326877\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Put the equation in standard form for an ellipse<BR>\n" );
document.write( "100x^2-200x+9y^2+18y=791<BR>\n" );
document.write( "**<BR>\n" );
document.write( "100x^2-200x+9y^2+18y=791<BR>\n" );
document.write( "completing the squares<BR>\n" );
document.write( "100(x^2-2x+1)+9(y^2+2+1)=791+100+9=900<BR>\n" );
document.write( "100(x-1)^2+9(y+1)^2=900<BR>\n" );
document.write( "divide by 100<BR>\n" );
document.write( "(x-1)^2/9+(y+1)^2/100=1<BR>\n" );
document.write( "This is an equation of an ellipse with vertical major axis of the standard form:<BR>\n" );
document.write( "(x-h)^2/b^2+(y-k)^2/a^2=1, a>b, with (h,k)=(x,y) coordinates of the center<BR>\n" );
document.write( "Given equation: <BR>\n" );
document.write( "(x-1)^2/9+(y+1)^2/100=1<BR>\n" );
document.write( "Center:(1,-1)<BR>\n" );
document.write( "a^2=100<BR>\n" );
document.write( "b^2=9 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );