document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=156163>Question 156163</A>: <I><SPAN STYLE=\"word-break: break-all;\"> CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:\r<BR>\n" );
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document.write( "Complete the square and write the equation in standard form. Then give the center and radius of the circle. x^2 + y^2 - 2x - 4y -4 = 0.\r<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 #115029 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=115029\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+y%5E2+-+2x+-+4y+-4+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+y%5E2+-+2x+-+4y+-4+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-+2x+%2B+y%5E2++-+4y+-4+=+0 ALIGN=MIDDLE  ALT=\"x%5E2-+2x+%2B+y%5E2++-+4y+-4+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms (place the \"x\" and \"y\" terms together)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-+2x+%2Bhighlight%281%29+%2B+y%5E2++-+4y+-4+=+highlight%281%29 ALIGN=MIDDLE  ALT=\"x%5E2-+2x+%2Bhighlight%281%29+%2B+y%5E2++-+4y+-4+=+highlight%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take half of the \"x\" coefficient and square it to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-2%29%2F2%29%5E2=%28-1%29%5E2=1 ALIGN=MIDDLE  ALT=\"%28%28-2%29%2F2%29%5E2=%28-1%29%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Add this to both sides (note: add the one right after the -2x)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-+2x+%2B1+%2B+y%5E2++-+4y+%2Bhighlight%284%29+-4+=+1%2Bhighlight%284%29 ALIGN=MIDDLE  ALT=\"x%5E2-+2x+%2B1+%2B+y%5E2++-+4y+%2Bhighlight%284%29+-4+=+1%2Bhighlight%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take half of the \"y\" coefficient and square it to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-4%29%2F2%29%5E2=%28-2%29%5E2=4 ALIGN=MIDDLE  ALT=\"%28%28-4%29%2F2%29%5E2=%28-2%29%5E2=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Add this to both sides (note: add the four right after the -4y)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-+2x+%2B1+%2B+y%5E2++-+4y+%2B4+-4+=+5 ALIGN=MIDDLE  ALT=\"x%5E2-+2x+%2B1+%2B+y%5E2++-+4y+%2B4+-4+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-+2x+%2B1+%29%2B+%28y%5E2++-+4y+%2B4+%29-4+=+5 ALIGN=MIDDLE  ALT=\"%28x%5E2-+2x+%2B1+%29%2B+%28y%5E2++-+4y+%2B4+%29-4+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Group the terms into two groups of three terms in each\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%5E2%2B+%28y%5E2++-+4y+%2B4+%29-4+=+5 ALIGN=MIDDLE  ALT=\"%28x-1%29%5E2%2B+%28y%5E2++-+4y+%2B4+%29-4+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-+2x+%2B1 ALIGN=MIDDLE  ALT=\"x%5E2-+2x+%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%5E2 ALIGN=MIDDLE  ALT=\"%28x-1%29%5E2\"   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=%28x-1%29%5E2%2B+%28y-2%29%5E2-4+=+5 ALIGN=MIDDLE  ALT=\"%28x-1%29%5E2%2B+%28y-2%29%5E2-4+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2++-+4y+%2B4 ALIGN=MIDDLE  ALT=\"y%5E2++-+4y+%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-2%29%5E2 ALIGN=MIDDLE  ALT=\"%28y-2%29%5E2\"   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=%28x-1%29%5E2%2B+%28y-2%29%5E2+=+9 ALIGN=MIDDLE  ALT=\"%28x-1%29%5E2%2B+%28y-2%29%5E2+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 4 to both sides \r<BR>\n" );
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document.write( "Now we have an equation in the form of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=1 ALIGN=MIDDLE  ALT=\"h=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=2 ALIGN=MIDDLE  ALT=\"k=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=3 ALIGN=MIDDLE  ALT=\"r=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Remember, for the general circle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the center is (h,k) and and the radius is \"r\"\r<BR>\n" );
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document.write( "So for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%5E2%2B+%28y-2%29%5E2+=+9 ALIGN=MIDDLE  ALT=\"%28x-1%29%5E2%2B+%28y-2%29%5E2+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the center is (1,2) and the radius is 3 units </SPAN>\n" );
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