document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=84318>Question 84318</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/013311614x/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I am confused as to how to find the radius and center of a circle by using an equation. Here's the equation: <BR>\n" );
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document.write( "x^-4x+y^+2y=-1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #60725 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=60725\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You must complete the square on the x and y terms respectively:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4x+%2By%5E2%2B2y=-1 ALIGN=MIDDLE  ALT=\"x%5E2-4x+%2By%5E2%2B2y=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You must \"complete the square\" by taking HALF of the x coefficient, and SQUARE the result, adding this amount to each side of the equation.  Repeat by taking HALF of the Y coefficient, SQUARE, and add to each side of the equation.  It should look like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4x%2B____%2By%5E2%2B2y%2B____=-1%2B____%2B____ ALIGN=MIDDLE  ALT=\"x%5E2-4x%2B____%2By%5E2%2B2y%2B____=-1%2B____%2B____\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4x+%2B+4++%2By%5E2%2B2y%2B1=-1%2B4%2B1 ALIGN=MIDDLE  ALT=\"x%5E2-4x+%2B+4++%2By%5E2%2B2y%2B1=-1%2B4%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x-2%29%5E2+%2B%28y%2B1%29%5E2+=+4 ALIGN=MIDDLE  ALT=\"+%28x-2%29%5E2+%2B%28y%2B1%29%5E2+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The center is at x=2 and y=-1, and r^2 = 4.  <BR>\n" );
document.write( "Therefore, the center is (2,-1) and r=2.\r<BR>\n" );
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document.write( "R^2 at SCC </SPAN>\n" );
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