What is the foci 81x^2+36y^2=2916 ?

The foci 81x^2+36y^2=2916 is (0,3sqrt(5)),(0,-3sqrt(5))

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foci 81x^2+36y^2=2916

foci

81 x^{2} + 36 y^{2} = 2916

(0, 35), (0, - 35)

Solution steps

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

Calculate ellipse properties

81 x^{2} + 36 y^{2} = 2916 :

Ellipse with center

(h, k) = (0, 0), b = 9, a = 6

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

Compute

c :

c = 9^{2} - 6^{2} : 35

(0, 0 + 35), (0, 0 - 35)

Refine

(0, 35), (0, - 35)

5 x^{2} + 7 y^{2} = 70

x^{2} + 9 y^{2} + 4 x = 5

4 x^{2} - 40 x + 2 y^{2} - 20 y = - 142

9 x^{2} + 7 y^{2} = 63

\frac{( x - 3 ) ^{2}}{64} + \frac{( y + 1 ) ^{2}}{49} = 1

What is the foci 81x^2+36y^2=2916 ?
The foci 81x^2+36y^2=2916 is (0,3sqrt(5)),(0,-3sqrt(5))