document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=229763>Question 229763</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the center and radius of the circle given by the equation x^2 + y^2 - 8x + 2y - 11 = 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #170264 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=170264\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2 + y^2 - 8x + 2y - 11 = 0<BR>\n" );
document.write( "x^2 + y^2 - 8x + 2y = 11 <BR>\n" );
document.write( "Group x's and y's:<BR>\n" );
document.write( "(x^2 - 8x) + (y^2 + 2y) = 11 <BR>\n" );
document.write( "Complete the square:<BR>\n" );
document.write( "(x^2 - 8x + __ ) + (y^2 + 2y + __) = 11 <BR>\n" );
document.write( "(x^2 - 8x + 16 ) + (y^2 + 2y + 1) = 11 + 16 + 1<BR>\n" );
document.write( "(x - 4 )^2 + (y + 1)^2 = 28<BR>\n" );
document.write( "(x - 4 )^2 + (y - -1)^2 = 28<BR>\n" );
document.write( "Center: (h,k) = (4, -1)<BR>\n" );
document.write( "radius: sqrt(28) = 2sqrt(7) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );