document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=771638>Question 771638</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the circle in the form X^2+y^2+Dx+Ey+F=0 of the circle through points (1,1) (2,-1), (2,3)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #470339 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=470339\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The actual variables will be D, E, and F.  The x and y values will become constants or part of constants.  The system of equations will be more comfortable with each equation in the form, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xD%2ByE%2BF=-x%5E2-y%5E2 ALIGN=MIDDLE  ALT=\"xD%2ByE%2BF=-x%5E2-y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Each point gives one equation:<BR>\n" );
document.write( "SYSTEM:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1D%2B1E%2BF=-1-1 ALIGN=MIDDLE  ALT=\"1D%2B1E%2BF=-1-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2D-1E%2BF=-2%5E2-%28-1%29%5E2 ALIGN=MIDDLE  ALT=\"2D-1E%2BF=-2%5E2-%28-1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2D%2B3E%2BF=-2%5E2-3%5E2 ALIGN=MIDDLE  ALT=\"2D%2B3E%2BF=-2%5E2-3%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "SIMPLIFIED SYSTEM:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%2BE%2BF=-2 ALIGN=MIDDLE  ALT=\"D%2BE%2BF=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2D-E%2BF=-5 ALIGN=MIDDLE  ALT=\"2D-E%2BF=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2D%2B3E%2BF=-13 ALIGN=MIDDLE  ALT=\"2D%2B3E%2BF=-13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "You can solve for the three variables any way you know or like.  You can also solve using the matrix,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%0D%0Amatrix%283%2C4%2C%0D%0A1%2C1%2C1%2C-2%2C%0D%0A2%2C-1%2C1%2C-5%2C%0D%0A2%2C3%2C1%2C-13%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Intentionally unfinished allowing you to finish yourself.<BR>\n" );
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