document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1006074>Question 1006074</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How were going to transform a general equation of a circle to standard equation </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #622222 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39799)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=622222\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Complete the Squares for the variables.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Ax%5E2%2BBx%2BCy%5E2%2BDy%2BE=0 ALIGN=MIDDLE  ALT=\"Ax%5E2%2BBx%2BCy%5E2%2BDy%2BE=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be general form for a circle.  Let this be changed because A and B would be equal if this is a circle.\r<BR>\n" );
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document.write( "Instead, say  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28x%5E2%2BAx%2By%5E2%2BBy%2BC=0%29 ALIGN=MIDDLE  ALT=\"highlight_green%28x%5E2%2BAx%2By%5E2%2BBy%2BC=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, now the coefficients no longer being the same values as the previous general form equation.  Continue working with this one.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2BAx%2B%28A%2F2%29%5E2%2By%5E2%2BBy%2B%28B%2F2%29%5E2=-C%2B%28A%2F2%29%5E2%2B%28B%2F2%29%5E2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B%28A%2F2%29%29%5E2%2B%28y%2BB%2F2%29%5E2=%28A%5E2%2BB%5E2%29%2F4-C ALIGN=MIDDLE  ALT=\"%28x%2B%28A%2F2%29%29%5E2%2B%28y%2BB%2F2%29%5E2=%28A%5E2%2BB%5E2%29%2F4-C\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2BA%2F2%29%5E2%2B%28y%2BB%2F2%29%5E2=%28A%5E2%2BB%5E2%29%2F4-4C%2F4 ALIGN=MIDDLE  ALT=\"%28x%2BA%2F2%29%5E2%2B%28y%2BB%2F2%29%5E2=%28A%5E2%2BB%5E2%29%2F4-4C%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28x%2BA%2F2%29%5E2%2B%28y%2BB%2F2%29%5E2=%28A%5E2%2BB%5E2-4C%29%2F4%29 ALIGN=MIDDLE  ALT=\"highlight%28%28x%2BA%2F2%29%5E2%2B%28y%2BB%2F2%29%5E2=%28A%5E2%2BB%5E2-4C%29%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--------this is the standard form, equivalent to the general form.\r<BR>\n" );
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document.write( "You would need to make some adjustments if the coefficients on x^2 and y^2 are not both equal to 1, before you start the conversion for your specific equation.\r<BR>\n" );
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document.write( "The center of the circle would be at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-A%2F2 ALIGN=MIDDLE  ALT=\"x=-A%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-B%2F2 ALIGN=MIDDLE  ALT=\"y=-B%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and the radius is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28A%5E2%2BB%5E2-4C%29%2F2 ALIGN=MIDDLE  ALT=\"sqrt%28A%5E2%2BB%5E2-4C%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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