document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=779859>Question 779859</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have no idea how to do circles and find the center and radius. <BR>\n" );
document.write( "A circle has the equation of 7x^2 + 7y^2 + 42x +28y - 84 = 0. <BR>\n" );
document.write( "Graph the circle using the center (h,k) and the radius r. Find the intercepts, if any of the graph.  Thank you in advance  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #475407 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=475407\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Complete the squares:\r<BR>\n" );
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document.write( "Step 1.  Add the additive inverse of the constant term to both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 7x^2\ +\ 7y^2\ +\ 42x\ +\ 28y\ =\ 84\">\r<BR>\n" );
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document.write( "Step 2:  Multiply by the reciprocal of the coefficients on the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x^2\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y^2\"> terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x^2\ +\ y^2\ +\ 6x\ +\ 4y\ =\ 12\">\r<BR>\n" );
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document.write( "Step 3: Rearrange with spaces so that you can create the sum of two quadratic trinomials, one in x and one in y\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x^2\ +\ 6x\ \ \ \ +\ y^2\ +\ 4y\ \ \ \ =\ 12\">\r<BR>\n" );
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document.write( "Step 4: Divide the first degree x term coefficient by 2, square the result and add to both sides of the equation.  6 divided by 2 is 3, 3 squared is 9, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x^2\ +\ 6x\ +\ 9\ +\ y^2\ +\ 4y\ \ \ \ =\ 12\ +\ 9\">\r<BR>\n" );
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document.write( "Step 5: Repeat for the y terms:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x^2\ +\ 6x\ +\ 9\ +\ y^2\ +\ 4y\ +\ 4\ =\ 12\ +\ 9\ +\ 4\">\r<BR>\n" );
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document.write( "Step 6:  Sum the constants:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x^2\ +\ 6x\ +\ 9\ +\ y^2\ +\ 4y\ +\ 4\ =\ 25\">\r<BR>\n" );
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document.write( "Step 7:  Factor the two perfect square trinomials in the LHS:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (x\ +\ 3)^2\ +\ (y\ +\ 2)^2\ =\ 25\">\r<BR>\n" );
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document.write( "Rewrite:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \left(x\ -\ (-3)\right)^2\ +\ \left(y\ -\ (-2)\right)^2\ =\ 5^2\">\r<BR>\n" );
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document.write( "Since the equation of a circle centered at <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(h,\,k\right)\"> with radius <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE r\"> is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (x\ -\ h)^2\ +\ (y\ -\ k)^2\ =\ r^2\">\r<BR>\n" );
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document.write( "You can determine <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE h,\,k,\,\text{and}\,r\"> by inspection.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "<font face=\"Math1\" size=\"+2\">Egw to Beta kai to Sigma</font><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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