# 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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