document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=555068>Question 555068</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the center  and radius of A Circle whose equation is x^2+8x+y^2-10y+32=0 ?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #361616 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=361616\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> what is the center  and radius of A Circle whose equation is x^2+8x+y^2-10y+32=0 ?<BR>\n" );
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document.write( "Complete the squares:<BR>\n" );
document.write( "x^2 + 8x -> (x+4)(x+4) = x^2 + 8x + 16<BR>\n" );
document.write( "y^2 - 10y -> (y-5)(y-5) = y^2 -10y + 25<BR>\n" );
document.write( "The constant terms add up to 41: 41 - 9 = 32<BR>\n" );
document.write( "So the equation of the circle is:<BR>\n" );
document.write( "(x+4)^2 + (y-5)^2 = 9<BR>\n" );
document.write( "Center at (-4,5), radius = 3  </SPAN>\n" );
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