document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=196069>Question 196069</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with a problem.<BR>\n" );
document.write( "the directions are find all points of intersection. It is a problem our teacher made up but the problem is for our section for solving quadratic systems\r<BR>\n" );
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document.write( "equation 1-x^2+y^2+4x-6y+4=0<BR>\n" );
document.write( "equation 2-x^2+y^2-4x-6y+12=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #146986 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=146986\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> They look like circles. You can plot them here --> http://72.3.253.76/webMathematica3/quickmath/page.jsp?s1=graphs&s2=equations&s3=basic\r<BR>\n" );
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document.write( "When will they intersect? When they are equal to each other<BR>\n" );
document.write( "So where is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2%2B4x-6y%2B4+=+x%5E2%2By%5E2-4x-6y%2B12 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2%2B4x-6y%2B4+=+x%5E2%2By%5E2-4x-6y%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x+%2B+4+=+-4x%2B12 ALIGN=MIDDLE  ALT=\"4x+%2B+4+=+-4x%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x+=+8 ALIGN=MIDDLE  ALT=\"8x+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+1 ALIGN=MIDDLE  ALT=\"x+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Using that x and solving for y, yields y = 3<BR>\n" );
document.write( "So they touch at one point (1,3)\r<BR>\n" );
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document.write( "Geogebra would be a good tool to plot these on one plot together.  </SPAN>\n" );
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