document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184708>Question 184708</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HELP PLEASE<BR>\n" );
document.write( "x^+10x+y^-6y+9=0 represents a circle. find radius and centre. <BR>\n" );
document.write( "also find any point an circle that intersects line y=-x+3<BR>\n" );
document.write( "any assistance would be greatly appreciated. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #138636 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=138636\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2+10x+y^2-6y+9=0 represents a circle. find radius and centre. <BR>\n" );
document.write( "also find any point an circle that intersects line y=-x+3<BR>\n" );
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document.write( "Complete the square on the x-terms and on the y-terms, as follows:\r<BR>\n" );
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document.write( "x^2 + 10x + ? + y^2 -6y + ? = -9 + ?+?\r<BR>\n" );
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document.write( "x^2 + 10x + 25 + y^2 - 6y + 9 = -9 + 25 + 9\r<BR>\n" );
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document.write( "(x+5)^2 + (y-3)^2 = 25<BR>\n" );
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document.write( "center is (-5,3)<BR>\n" );
document.write( "radius = sqrt(25) = 5<BR>\n" );
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document.write( "Find any point on the circle that intersects line y=-x+3<BR>\n" );
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document.write( "Substitute for \"y\" in the circle equation to solve for \"x\".\r<BR>\n" );
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document.write( "(x+5)^2 + (-x+3-3)^2 = 25\r<BR>\n" );
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document.write( "x^2 + 10x + 25 + x^2 = 25<BR>\n" );
document.write( "2x^2 + 10x = 0<BR>\n" );
document.write( "2x(x+5) = 0<BR>\n" );
document.write( "x = 0 or x = -5<BR>\n" );
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document.write( "Usiing y = -x+3, for the y-values that correspond to x = 0 and to x=-5:<BR>\n" );
document.write( "If x=0, y = 3<BR>\n" );
document.write( "If x = -5, y = 8<BR>\n" );
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document.write( "Intersection points are (0,3) and (-5,8)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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