document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=282458>Question 282458</A>: <I><SPAN STYLE=\"word-break: break-all;\"> given the equation of a circle   x^2+y^2-10x+4y+13=0 find its center and its radius. im not sure i think its center is 10,-4 please help if possible </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #205168 by </B><A HREF=/tutors/aboutme.mpl?userid=dabanfield><B>dabanfield(803)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dabanfield><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=205168\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> given the equation of a circle x^2+y^2-10x+4y+13=0 find its center and its radius. im not sure i think its center is 10,-4 please help if possible\r<BR>\n" );
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document.write( "We need to get the equation in the standard form:\r<BR>\n" );
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document.write( "(x-h)^2 + (y-k)^2 = r^2.\r<BR>\n" );
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document.write( "In this form the center is at (h,k) with radius = r.\r<BR>\n" );
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document.write( "x^2 + y^2 - 10x + 4y + 13 = 0\r<BR>\n" );
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document.write( "(x^2 - 10x) + (y^2 + 4y) = -13\r<BR>\n" );
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document.write( "We can \"complete the squares\" by adding the same things to both sides:\r<BR>\n" );
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document.write( "(x^2 - 10x + 25) + (y^2 + 4y + 4) = -13 + 25 + 4\r<BR>\n" );
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document.write( "(x-5)^2 + (y+2)^2 = 16\r<BR>\n" );
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document.write( "The center is at (5,-2) and the radius is 4. </SPAN>\n" );
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