document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=376780>Question 376780</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am in intermediate algebra, my tutor is gone for the weekend and I need some assistance.\r<BR>\n" );
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document.write( "Problem: Find the center, radius, x-intercepts and y-intercepts of the circle X^2 + y^2 - 6x + 4y - 12 = 0  \r<BR>\n" );
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document.write( "I am confused on the x-intercepts of my circle\r<BR>\n" );
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document.write( "This is what I have done so far:<BR>\n" );
document.write( "X^2 - 6X + y^2 +4y = 12<BR>\n" );
document.write( "x^2 - 6x + 9 + y^2 + 4y + 4 = 12 + 9 + 4<BR>\n" );
document.write( "(x-3)^2 + (y + 2)^2 = 25\r<BR>\n" );
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document.write( "Y -intercepts:<BR>\n" );
document.write( "(x-3)^2 + (y+2)^2 = 25<BR>\n" );
document.write( "(0-3)^2 + (y+2)^2 = 25<BR>\n" );
document.write( "9 + (y+2)^2 = 5^2<BR>\n" );
document.write( "-9 + 9 + (y+2)^2 = 5^2 - 9<BR>\n" );
document.write( "(y+2)^2 = 4<BR>\n" );
document.write( " square it<BR>\n" );
document.write( "y+2 = + or - 4<BR>\n" );
document.write( "y = -6<BR>\n" );
document.write( "y = 2\r<BR>\n" );
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document.write( "x intercepts<BR>\n" );
document.write( "x^2 - 6x - 12 = 0<BR>\n" );
document.write( "Now I am stuck -  I can't figure out how to figure out the x intercept\r<BR>\n" );
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document.write( "I believe that  vertex is :  (3, -2)<BR>\n" );
document.write( "                radius is: (5)<BR>\n" );
document.write( "                y intercepts (0.-6) (0,2)<BR>\n" );
document.write( "                x intercepts (-2,0) except that my circle is not exactly on -2\r<BR>\n" );
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document.write( "Thank you for your assistance\r<BR>\n" );
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document.write( "Carol </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #268017 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=268017\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (y\ +\ 2)^2\ =\ 16\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y\ +\ 2\ =\ \pm4\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ 2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ -6\">\r<BR>\n" );
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document.write( "This is a circle, so it doesn't have a vertex.  The center is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (3, -2)\">\r<BR>\n" );
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document.write( "And the radius is 5.\r<BR>\n" );
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document.write( "Find the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> intercepts the same way you found the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y\"> intercepts.  Substitute 0 for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y\"> and solve.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (x\ -\ 3)^2\ +\ (0\ +\ 2)^2\ =\ 25\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (x\ -\ 3)^2\ =\ 21\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x\ -\ 3\ =\ \pm\sqrt{21}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ 3\ +\ \sqrt{21}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ 3\ -\ \sqrt{21}\">\r<BR>\n" );
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document.write( "Roughly 7.6 and -1.6\r<BR>\n" );
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document.write( "The <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y\"> intercept points that you have are correct.\r<BR>\n" );
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document.write( "The <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> intercept points are\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (3\ +\ \sqrt{21},0)\">\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (3\ -\ \sqrt{21},0)\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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