What is the foci 81x^2+64y^2=5184 ?

The foci 81x^2+64y^2=5184 is (0,sqrt(17)),(0,-sqrt(17))

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foci 81x^2+64y^2=5184

foci

81 x^{2} + 64 y^{2} = 5184

(0, 17), (0, - 17)

Solution steps

(h, k + c), (h, k - c)

Calculate ellipse properties

81 x^{2} + 64 y^{2} = 5184 :

Ellipse with center

(h, k) = (0, 0), b = 9, a = 8

(0, 0 + c), (0, 0 - c)

Compute

c :

c = 9^{2} - 8^{2} : 17

(0, 0 + 17), (0, 0 - 17)

Refine

(0, 17), (0, - 17)

x^{2} + 2 y^{2} - 8 y + 4 = 0

\frac{x ^{2}}{36} + \frac{y ^{2}}{64} = 1

\frac{x ^{2}}{16} + y^{2} = 1

18 x^{2} + 4 y^{2} - 72 x + 4 y + 37 = 0

16 x^{2} + 25 y^{2} + 64 x - 200 y + 64 = 0

What is the foci 81x^2+64y^2=5184 ?
The foci 81x^2+64y^2=5184 is (0,sqrt(17)),(0,-sqrt(17))