document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30249>Question 30249</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve:<BR>\n" );
document.write( "x^2+y^2=16<BR>\n" );
document.write( "x^2/25 +y^2/16 =1\r<BR>\n" );
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document.write( "Solutions:<BR>\n" );
document.write( "a. no solution<BR>\n" );
document.write( "b. [(0,-4), (0,4)]<BR>\n" );
document.write( "c. [(0,-5), (0,5)]<BR>\n" );
document.write( "d. [(-5,0), (5,0)] </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #17026 by </B><A HREF=/tutors/aboutme.mpl?userid=Fermat><B>Fermat(136)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fermat><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=Fermat><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=17026\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This one is solved by simple observation.<BR>\n" );
document.write( "x²+y²=16 is the eqn of a circle, centre the origin, with a radius of r = 4.<BR>\n" );
document.write( "x²/5² + y²/4² = 1 is the eqn of an ellipse, centre the origin, with semi-major axis,a = 5 and semi-minor axis, b = 4.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+6%2C+-5%2C+5%2C+sqrt%2816+-+x%5E2%29%2C+-sqrt%2816+-+x%5E2%29%2C4%2Asqrt%281-x%5E2%2F25%29%2C+-4%2Asqrt%281-x%5E2%2F25%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "As you can see there are only two points of intersection (when both functions have a common point with the same x- and y-coordinates)<BR>\n" );
document.write( "The points of intersection are:<BR>\n" );
document.write( "(0,4) and (0,-4)<BR>\n" );
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document.write( " </SPAN>\n" );
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