document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=383004>Question 383004</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation of the circle in general form if the center is (2,3) and the radius is 5. (General Form: Ax^2+By^2+Cx+Dy+E=0) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #271342 by </B><A HREF=/tutors/aboutme.mpl?userid=CharlesG2><B>CharlesG2(834)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CharlesG2><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=271342\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write the equation of the circle in general form if the center is (2,3) and the radius is 5. (General Form: Ax^2+By^2+Cx+Dy+E=0)\r<BR>\n" );
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document.write( "if center (0,0): x^2 + y^2 = r^2 or in general form x^2 + y^2 - r^2 = 0,<BR>\n" );
document.write( "A = 1, B = 1, C = 0, D = 0, E = -r^2<BR>\n" );
document.write( "if center (h,k): (x - h)^2 + (y - k)^2 = r^2<BR>\n" );
document.write( "or multiplying with FOIL (First Outer Inner Last):<BR>\n" );
document.write( "x^2 - 2hx + h^2 + y^2 - 2ky + k^2 = r^2<BR>\n" );
document.write( "or in general form: x^2 + y^2 - 2hx - 2ky + h^2 + k^2 - r^2 = 0,<BR>\n" );
document.write( "A = 1, B = 1, C = -2h, D = -2k, E = h^2 + k^2 - r^2\r<BR>\n" );
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document.write( "center: (2,3), radius: 5<BR>\n" );
document.write( "A = 1, B = 1, C = -2h = -2 * 2 = -4, D = -2k = -2 * 3 = -6,<BR>\n" );
document.write( "E = 2^2 + 3^2 - 5^2 = 4 + 9 - 25 = 13 - 25 = -12<BR>\n" );
document.write( "general form: x^2 + y^2 - 4x - 6y - 12 = 0<BR>\n" );
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