document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=672786>Question 672786</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The circle (x – 4)2 + (y – 3)2 = 4 has centre C and radius r.<BR>\n" );
document.write( "The line y = x + 1 intersects this circle at two points A and B.<BR>\n" );
document.write( "Find the coordinates of A and B.\r<BR>\n" );
document.write( "\n" );
document.write( "Some working out would be appreciated to learn for next time :D\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks in advance </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #418300 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=418300\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The circle (x – 4)2 + (y – 3)2 = 4 has centre C and radius r.<BR>\n" );
document.write( "The line y = x + 1 intersects this circle at two points A and B.<BR>\n" );
document.write( "Find the coordinates of A and B. <BR>\n" );
document.write( "------<BR>\n" );
document.write( "Substitute for \"y\" and solve for \"x\":<BR>\n" );
document.write( "(x-4)^2 + (x+1-3)^2 = 4<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x^2 -8x +16 + (x^2-4x+4) = 4<BR>\n" );
document.write( "----<BR>\n" );
document.write( "2x^2 -12x +16 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x^2 -6x +8 = 0<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "(x-4)(x-2) = 0<BR>\n" );
document.write( "x = 2 or x = 4<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Solve for the corresponding \"y\": values using y = x+1<BR>\n" );
document.write( "If x = 2, y = 3<BR>\n" );
document.write( "If x = 4, y = 5<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Points of intersection: (2,3) and (4,5)<BR>\n" );
document.write( "=======================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );