document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=80070>Question 80070</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x^2+y^2-4x+6y+4=0\r<BR>\n" );
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document.write( "i need to find the center, and radius </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #57433 by </B><A HREF=/tutors/aboutme.mpl?userid=tutor_paul><B>tutor_paul(519)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutor_paul><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=tutor_paul><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=57433\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You first need to get your equation into the standard form, which is:<BR>\n" );
document.write( "<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;\" > \r<BR>\n" );
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document.write( "The center is then (h, k) and the radius is r.<BR>\n" );
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document.write( "You are given: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2-4x%2B6y%2B4=0 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2-4x%2B6y%2B4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so the first step is to put this into the above form. The technique you need to use is called \"Completing The Square.\" First, I will rewrite the equations a bit to organize the terms properly as follows:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2-4x%2B6y%2B4=0 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2-4x%2B6y%2B4=0\"   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%2By%5E2%2B6y=-4 ALIGN=MIDDLE  ALT=\"x%5E2-4x%2By%5E2%2B6y=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now comes the Completing The Square part...divide the coefficients of x and y respectively by 2 and square the result. Add this number to both sides of the equation in order to maintain the equality:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4x%2B4%2By%5E2%2B6y%2B9=-4%2B4%2B9 ALIGN=MIDDLE  ALT=\"x%5E2-4x%2B4%2By%5E2%2B6y%2B9=-4%2B4%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplifying the right side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4x%2B4%2By%5E2%2B6y%2B9=9 ALIGN=MIDDLE  ALT=\"x%5E2-4x%2B4%2By%5E2%2B6y%2B9=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you can rewrite the x and y terms as factors which gets you in the needed format:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2%2B%28y%2B3%29%5E2=9 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2%2B%28y%2B3%29%5E2=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now that you have the equation in the proper format, you can easily get the center and the radius.<BR>\n" );
document.write( "Good Luck,<BR>\n" );
document.write( "tutor_paul@yahoo.com </SPAN>\n" );
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