document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=52446>Question 52446</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the center, vertices, and foci of the ellipse 4x2+25y2-8x+100+4=0.  graph </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #34981 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=34981\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4x^2 - 8x + 25y^2 + 100y = -4<BR>\n" );
document.write( "4(x^2 - 2x) + 25(y^2 + 4y) = -4<BR>\n" );
document.write( "4(x - 1)^2 + 25(y + 2)^2 = -4 + 4(-1)^2 + 25(2)^2 = -4 + 4 + 25(4) = 100<BR>\n" );
document.write( "4(x - 1)^2/100 + 25(y + 2)^2/100 = 1<BR>\n" );
document.write( "(x - 1)^2/25 + (y + 2)^2/4 = 1<BR>\n" );
document.write( "c(1,-2)<BR>\n" );
document.write( "a = 5<BR>\n" );
document.write( "b = 2<BR>\n" );
document.write( "c = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+-+b%5E2 ALIGN=MIDDLE  ALT=\"a%5E2+-+b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2825+-+4%29 ALIGN=MIDDLE  ALT=\"sqrt%2825+-+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2821%29 ALIGN=MIDDLE  ALT=\"sqrt%2821%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The major axis is horizontal.<BR>\n" );
document.write( "vertices: (6,-2),(-4,-2),(1,0),(1,-4)<BR>\n" );
document.write( "Foci: (1 + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2821%29 ALIGN=MIDDLE  ALT=\"sqrt%2821%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,-2),(1 - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2821%29 ALIGN=MIDDLE  ALT=\"sqrt%2821%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,-2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-6%2C6%2C-6%2C6%2C-2%2Csqrt%284+-+4%28x+-+1%29%5E2%2F25%29-2%2C-sqrt%284+-+4%28x+-+1%29%5E2%2F25%29-2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );