document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=70337>Question 70337</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131866710/algebrahomeworkh>College Algebra Essentials</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Hi,<BR>\n" );
document.write( "I am trying to find the center and radius of this circle. I thought I had it until I tried to factor it, so I appreciate any help!<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2%2B3y%5E2-6x%2B12y=0 ALIGN=MIDDLE  ALT=\"3x%5E2%2B3y%5E2-6x%2B12y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This is what I have so far by completing the square...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%5E2-6x%2B9%29%2B%283y%5E2%2B12y%2B36%29=0%2B9%2B36 ALIGN=MIDDLE  ALT=\"%283x%5E2-6x%2B9%29%2B%283y%5E2%2B12y%2B36%29=0%2B9%2B36\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Thank you!<BR>\n" );
document.write( "note, this is Q 125 from chapter 1 Review Exercises.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #50182 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=50182\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3x^2+3y^2-6x+12y=0<BR>\n" );
document.write( "Divide thru by 3 to get:<BR>\n" );
document.write( "x^2-2x+? +y^2+4y+? = 0<BR>\n" );
document.write( "Complete the square on the x's and y's separately:<BR>\n" );
document.write( "x^2-2x+1 + y^2+4x+4 = 1+4<BR>\n" );
document.write( "Factor to get:<BR>\n" );
document.write( "(x-1)^2 + (y+2)^2 = [sqrt(5)]^2<BR>\n" );
document.write( "Center at (1,-2); radius=sqrt5<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );