document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1124998>Question 1124998</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the equations of two circles are x^2 + y^2 - 2x + 4y - 20 = 0 and x^2 + y^2 + 4x - 6y = 0<BR>\n" );
document.write( "(a) find the distance between the centres of these circles<BR>\n" );
document.write( "(b) find the radii of the two circles<BR>\n" );
document.write( "(c) determine relationship between the two circle </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #741323 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=741323\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2 + y^2 - 2x + 4y - 20 = 0 <BR>\n" );
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document.write( "x^2-2x+1 +y^2+4y+4 = 20+5<BR>\n" );
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document.write( "(x-1)^2 +(y+2)^2 = 25<BR>\n" );
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document.write( "center of this circle is (1,-2) and radius is 5<BR>\n" );
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document.write( "x^2 + y^2 + 4x - 6y = 0<BR>\n" );
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document.write( "x^2+4x+4 +y^2-6y+9 = 13<BR>\n" );
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document.write( "(x+2)^2 +(y-3)^2 = 13<BR>\n" );
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document.write( "center of this circle is (-2,3) and radius is square root(13) = 3.6056 <BR>\n" );
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document.write( "a) distance = square root( (-2-1)^2 + (3-(-2))^2 ) = 5.831<BR>\n" );
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document.write( "b) radii are 5 and 3.6056<BR>\n" );
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document.write( "c) the given circles intersect at two points<BR>\n" );
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