document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1171456>Question 1171456</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Given: x^2+y^2-6x+8y-11=0. <BR>\n" );
document.write( "1. Find the equation of the circle in standard form.<BR>\n" );
document.write( "2. Find the center and the radius. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #796377 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=796377\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> regroup the terms to get:<BR>\n" );
document.write( "(x^2 - 6x) + (y^2 + 8y) - 11 = 0<BR>\n" );
document.write( "complete the squares to get:<BR>\n" );
document.write( "(x-3)^2 - 9 + (y+4)^2 - 16 - 11 = 0<BR>\n" );
document.write( "combine like terms to get:<BR>\n" );
document.write( "(x-3)^2 + (y+4)^2 -36 = 0<BR>\n" );
document.write( "add 36 to both sides of the equation to get:<BR>\n" );
document.write( "(x-3)^2 + (y+4)^2 = 36<BR>\n" );
document.write( "that's your equation in standard form of a circle.<BR>\n" );
document.write( "the center is at (3,-4) and the radius is equal to sqrt(36) = 6<BR>\n" );
document.write( "here's the graph of both equations.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2020/120901.jpg\" >\r<BR>\n" );
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document.write( "since they are identical, they make the same figure on the graph.<BR>\n" );
document.write( " </SPAN>\n" );
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