document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=628086>Question 628086</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the equation for the ellipse with foci at (±4, 0) and a minor axis of length 6? Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #395367 by </B><A HREF=/tutors/aboutme.mpl?userid=dfrazzetto><B>dfrazzetto(283)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dfrazzetto><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=dfrazzetto><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=395367\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ellipse with foci at (±4, 0) and a minor axis of length 6\r<BR>\n" );
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document.write( "F = focal distance to center (0,0) = 4\r<BR>\n" );
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document.write( "j = semi major axis\r<BR>\n" );
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document.write( "n = semi minor axis = 6/2 = 3\r<BR>\n" );
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document.write( "Solve for j:\r<BR>\n" );
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document.write( "F = sqrt(j^2 - n^2)\r<BR>\n" );
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document.write( "4 = sqrt (j^2 - 3^2)\r<BR>\n" );
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document.write( "16 = j^2 - 9\r<BR>\n" );
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document.write( "j^2 = 16 + 9 = 25\r<BR>\n" );
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document.write( "j = 5\r<BR>\n" );
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document.write( "Rewriting ellipse equation in standard form\r<BR>\n" );
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document.write( "(x/a)^2 + (y/b)^2 = 1\r<BR>\n" );
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document.write( "a = 5 , b = 3\r<BR>\n" );
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document.write( "(x/5)^2 + (y/3)^2 = 1\r<BR>\n" );
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document.write( "x^2/25 + y^2/9 = 1\r<BR>\n" );
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document.write( "http://www.wolframalpha.com/input/?i=%28x%2F5%29%5E2+%2B+%28y%2F3%29%5E2+%3D+1 </SPAN>\n" );
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