document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=165014>Question 165014</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618503080/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Find center and radius of the circle x^2 + y^2 - 10x + 2y + 25 = 0.\r<BR>\n" );
document.write( "\n" );
document.write( "Let me know if the following below is done wrong. help is appreciated.\r<BR>\n" );
document.write( "\n" );
document.write( "x^2 + y^2 - 10x + 2y = -25\r<BR>\n" );
document.write( "\n" );
document.write( "(x^2 - 10x)-(y^2 + 2y)= -25 \r<BR>\n" );
document.write( "\n" );
document.write( "( x^2 -10x -10) -(y^2 + 2y + 1)= -1 - 10 + 1\r<BR>\n" );
document.write( "\n" );
document.write( "(x - 2)^5 -(y + 1)^2 = -10\r<BR>\n" );
document.write( "\n" );
document.write( "The center is (2,-1); the radius is -2.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #121667 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=121667\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find center and radius of the circle x^2 + y^2 - 10x + 2y + 25 = 0. <BR>\n" );
document.write( "Let me know if the following below is done wrong. help is appreciated. <BR>\n" );
document.write( "x^2 + y^2 - 10x + 2y = -25 <BR>\n" );
document.write( "(x^2 - 10x)-(y^2 + 2y)= -25 <BR>\n" );
document.write( "( x^2 -10x -10) -(y^2 + 2y + 1)= -1 - 10 + 1 <BR>\n" );
document.write( "(x - 2)^5 -(y + 1)^2 = -10 <BR>\n" );
document.write( "The center is (2,-1); the radius is -2.<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "x^2 + y^2 - 10x + 2y = -25 <BR>\n" );
document.write( "[x^2 - 10x] + [y^2 + 2y] = -25   (You have a minus sign before y^2)<BR>\n" );
document.write( "[x^2 - 10x + 25] + [y^2 + 2y + 1] = -25 + 25 + 1  (25 completes the square, not 10, and you subtracted from the right side, didn't add)<BR>\n" );
document.write( "(x-5)^2 + (y+1)^2 = 1<BR>\n" );
document.write( "The center is (5,-1) and the radius is 1.  (The radius can't be negative.)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );