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This is an equation of an ellipse. To find the center of the ellipse, we can complete the square for both x and y terms.  - Pizza Tower

64x^2 - 16x + 25y^2 - 16y = 648

64(x^2 - (1/4)x) + 25(y^2 - (4/5)y) = 648

64(x - (1/8))^2 + 25(y - (2/5))^2 = 648 + 1 + 4/5

64(x - (1/8))^2 + 25(y - (2/5))^2 = 1293/5

The center of the ellipse is at ((1/8), (2/5)) and the semi-major and semi-minor axes are sqrt(1293/320) and sqrt(1293/125), respectively.

May 31, 2023