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find the standard form of the equation of the specified ellipse
\n" ); document.write( "Foci: (5,5), (1,5)
\n" ); document.write( "Major axis of length 10.
\n" ); document.write( "**
\n" ); document.write( "Data given shows this is an ellipse with horizontal major axis with equation of the standard form: (x-h)^2/a^2+(y-k)^2/b^2=1, a>b, with (h,k) being the coordinates of the center.
\n" ); document.write( "..
\n" ); document.write( "y-coordinate of center=5
\n" ); document.write( "x-coordinate of center=(5+1)/2=3
\n" ); document.write( "center: (3,5)
\n" ); document.write( "..
\n" ); document.write( "length of horizontal major axis=10=2a
\n" ); document.write( "a=5
\n" ); document.write( "a^2=25
\n" ); document.write( "..
\n" ); document.write( "c=2 (distance from center to focus on major axis)
\n" ); document.write( "c^2=4
\n" ); document.write( "c^2=a^2-b^2
\n" ); document.write( "b^2=a^2-c^2=25-4=21
\n" ); document.write( "..
\n" ); document.write( "Equation:
\n" ); document.write( "(x-3)/25+(y-5)^2/21=1 \n" ); document.write( "