document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198158>Question 198158</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 #148617 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=148617\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Circle: x^2 + (y-9)^2 = 16<BR>\n" );
document.write( "Ellipse: x^2/16 + (y-1)^2/49 = 1<BR>\n" );
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document.write( "Ellipse x 16: x^2 + (16/49)*(y-1)^2 = 16<BR>\n" );
document.write( "Set the 2 eqns equal to each other, solve for y.<BR>\n" );
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document.write( "y = 67/11 (Ignore y = 59/3)<BR>\n" );
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document.write( "Sub into original eqn<BR>\n" );
document.write( "x = +- sqrt(912)/11 = ~ 2.74539<BR>\n" );
document.write( "(-2.745,6.09),(+2.745,6.09)<BR>\n" );
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document.write( "email via the thank you note if you want additional help, or to see the graph. </SPAN>\n" );
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