document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=447701>Question 447701</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x^2+y^2+2x+2y+1=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #308179 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=308179\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> it’s a circle, and the given equation is of the form\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2%2B2gx%2B2fy%2Bc=0 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2%2B2gx%2B2fy%2Bc=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "where (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-g ALIGN=MIDDLE  ALT=\"-g\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-f ALIGN=MIDDLE  ALT=\"-f\"   DISABLED_style= \"max-width:90%; height:auto;\" >) is the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=center ALIGN=MIDDLE  ALT=\"center\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g=1 ALIGN=MIDDLE  ALT=\"g=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f=1 ALIGN=MIDDLE  ALT=\"f=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so the center is at (-1,-1)\r<BR>\n" );
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document.write( "intercept on <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-axis=%28g%5E2-c%29%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"x+-axis=%28g%5E2-c%29%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "substituting the values <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-+intercept=0 ALIGN=MIDDLE  ALT=\"x-+intercept=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, it <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=touches ALIGN=MIDDLE  ALT=\"touches\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > axis\r<BR>\n" );
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document.write( "intercept on <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-+axis=%28f%5E2-c%29%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"y-+axis=%28f%5E2-c%29%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "substituting the values <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-+intercept=0 ALIGN=MIDDLE  ALT=\"y-+intercept=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, it <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=touches ALIGN=MIDDLE  ALT=\"touches\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > axis\r<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=Plot_a_circle.solver>PLOT any circle and describe it</A></TD></TR>\n" );
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document.write( "  Diameter:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+2r+=+2%2A1+=+2 ALIGN=MIDDLE  ALT=\"d+=+2r+=+2%2A1+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "  Area:      <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=area+=+pi%5Cr%5E2+=+pi%2A1%5E2+=+3.1415926939894 ALIGN=MIDDLE  ALT=\"area+=+pi%5Cr%5E2+=+pi%2A1%5E2+=+3.1415926939894\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  Perimeter: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=perimeter+=+2%5Cpi%5Cr+=+2%5Cpi%2A1+=+6.28318538797879 ALIGN=MIDDLE  ALT=\"perimeter+=+2%5Cpi%5Cr+=+2%5Cpi%2A1+=+6.28318538797879\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0A++drawing%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+%0D%0A++++grid%28+1+%29%2C%0D%0A++++red%28+circle%28+-1%2C+-1%2C+1+%29+%29%2C%0D%0A++++blue%28+circle%28+-1%2C+-1%2C+0.1+%29+%29%2C%0D%0A++++blue%28+circle%28+-1%2C+-1%2C+0.2+%29+%29%0D%0A++%29%0D%0A++ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( " </SPAN>\n" );
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