document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=144041>Question 144041</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hello  again<BR>\n" );
document.write( "i have another problem<BR>\n" );
document.write( "this time, i have a question on \"elipse\"<BR>\n" );
document.write( "and here is the problem <BR>\n" );
document.write( "==========================================================<BR>\n" );
document.write( "4x^2+9y^2-16x-18y=11 <BR>\n" );
document.write( "this is the expanded equation, so how do i find the STANDARD form of <BR>\n" );
document.write( "this equation??  and  how do i find the coordinates of 4 VERTICES??? <BR>\n" );
document.write( "including major and minor axis??? <BR>\n" );
document.write( "=============================================================<BR>\n" );
document.write( "please tell me all the steps and i would appreciate it very MUCH!!!!! <BR>\n" );
document.write( "thank you so much again<BR>\n" );
document.write( "i have a quiz and i go this problem wrong<BR>\n" );
document.write( "please tell me soon as possible  <BR>\n" );
document.write( "and have a great day ! THANK YOU! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #104836 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=104836\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4x^2+9y^2-16x-18y=11 <BR>\n" );
document.write( "this is the expanded equation, so how do i find the STANDARD form of <BR>\n" );
document.write( "this equation?? and how do i find the coordinates of 4 VERTICES??? <BR>\n" );
document.write( "including major and minor axis??? <BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "1st: complete the square separately on the x and on the y terms to get:\r<BR>\n" );
document.write( "\n" );
document.write( "[4x^2-16x] +[9y^2-18y] = 11\r<BR>\n" );
document.write( "\n" );
document.write( "[4(x^2-4x+4)] + [9[y^2-2y+1)] = 11+4*4 + 9*1 = 36\r<BR>\n" );
document.write( "\n" );
document.write( "Divide thru by 36 to get:<BR>\n" );
document.write( "(x-2)^2/9 + (y-1)^2/4 = 1\r<BR>\n" );
document.write( "\n" );
document.write( "This is the standard form of an ellipse:\r<BR>\n" );
document.write( "\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "Center: (h,k) = (2,1)<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "Semi-major axis = sqrt9 = 3<BR>\n" );
document.write( "Semi-minor axis = sqrt4 = 2<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "Vertices on the major axis: (2+3,1) and (2-3,1)<BR>\n" );
document.write( "vertices on the minor axis: (2,1+2) and (2,1-2)<BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );