document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=94328>Question 94328</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me: It says to Complete the square to find the center of the radius of the given circle.Could you show me the steps in completing this.\r<BR>\n" );
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document.write( "A<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2%2B6x-4y-3=0 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2%2B6x-4y-3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "B <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B2y%5E2-4x%2B8y-24=0 ALIGN=MIDDLE  ALT=\"2x%5E2%2B2y%5E2-4x%2B8y-24=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #68665 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=68665\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A. Complete the square to find the centre and the radius.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2%2B6x-4y-3+=+0 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2%2B6x-4y-3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 3 to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2%2B6x-4y+=+3 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2%2B6x-4y+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Group the like-terms together on the left side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B6x%29+%2B+%28y%5E2-4y%29+=+3 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B6x%29+%2B+%28y%5E2-4y%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now complete the squares in the x- and y-terms. To do this, you add the square of half the x-coefficient and the square of half the y-coefficient to both sides of the equation. <BR>\n" );
document.write( "For the x's this would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286%2F2%29%5E2+=+9 ALIGN=MIDDLE  ALT=\"%286%2F2%29%5E2+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > and for the y's this would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-4%2F2%29%5E2+=+4 ALIGN=MIDDLE  ALT=\"%28-4%2F2%29%5E2+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B6x%2B9%29+%2B+%28y%5E2-4y%2B4%29+=+3%2B9%2B4 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B6x%2B9%29+%2B+%28y%5E2-4y%2B4%29+=+3%2B9%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the trinomials and simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29%5E2+%2B+%28y-2%29%5E2+=+16 ALIGN=MIDDLE  ALT=\"%28x%2B3%29%5E2+%2B+%28y-2%29%5E2+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now compare this with the standard form for a circle with centre at (h, k) and radius r.<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;\" > and you can see that the centre (h, k) is at (-3, 2) while the radius is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2816%29 ALIGN=MIDDLE  ALT=\"sqrt%2816%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4.\r<BR>\n" );
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document.write( "Follow this approach on the second problem and see how you do.<BR>\n" );
document.write( "If you still have problems, please re-post. </SPAN>\n" );
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