E -Lips

Algebra Level 3

According to the ellipse equation

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

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

Find the difference between the area of the square A C B D ACBD and C E D F CEDF . Take the floor function to the value. Give your answer below.


The answer is 8.

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