document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198157>Question 198157</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to find the intersection points of a circle and an ellipse.\r<BR>\n" );
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document.write( "Circle: x^2 + (y-9)^2 = 16<BR>\n" );
document.write( "Ellipse: x^2/16 + (y-1)^2/49 = 1\r<BR>\n" );
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document.write( "Please help me out. This is for a project, it is not in a book. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #148633 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=148633\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are asked to find the points that intersect. So you are being asked to find the values for x and y that satisfy both equations.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+%28y-9%29%5E2+=+16 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+%28y-9%29%5E2+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+16+-+%28y-9%29%5E2+ ALIGN=MIDDLE  ALT=\"x%5E2+=+16+-+%28y-9%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Sub that into the second equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2816+-+%28y-9%29%5E2+%29%2F16++%2B+%28y-1%29%5E2%2F49+=+1 ALIGN=MIDDLE  ALT=\"%2816+-+%28y-9%29%5E2+%29%2F16++%2B+%28y-1%29%5E2%2F49+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "http://www76.wolframalpha.com/input/?i=(16+-+(y-9)^2+)%2F16++%2B+(y-1)^2%2F49+-1+%3D+0\r<BR>\n" );
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document.write( "Now use those values for y to find the value for x\r<BR>\n" );
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document.write( "You could also go get geogebra and use that to find the intersecting points </SPAN>\n" );
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