E -Lips

Algebra Level 3

According to the ellipse equation

\(9x^{2} + 16y^{2} - 54x +32y - 47 = 0\)

If the points \(A\) and \(B\) are the endpoints of the major axis, the points \(C\) and \(D\) are the endpoints of the minor axis, and the points \(E\), \(F\) being the foci.

Find the difference between the area of the square \(ACBD\) and \(CEDF\). Take the floor function to the value. Give your answer below.

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