What is the vertices 36x^2+9y^2+36y-288=0 ?

The vertices 36x^2+9y^2+36y-288=0 is (0,4),(0,-8)

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vertices 36x^2+9y^2+36y-288=0

vertices

36 x^{2} + 9 y^{2} + 36 y - 288 = 0

(0, 4), (0, - 8)

Solution steps

(h, k + b), (h, k - b)

Calculate ellipse properties

36 x^{2} + 9 y^{2} + 36 y - 288 = 0 :

Ellipse with center

(h, k) = (0, - 2), b = 6, a = 3

(0, - 2 + 6), (0, - 2 - 6)

Refine

(0, 4), (0, - 8)

36 x^{2} + 16 y^{2} - 64 y - 512 = 0

7 x^{2} + 16 y^{2} = 112

9 x^{2} + 49 y^{2} = 441

16 x^{2} + 9 y^{2} - 96 x + 36 y - 36 = 0

\frac{x ^{2}}{7 ^{2}} + \frac{y ^{2}}{3 ^{2}} = 1

What is the vertices 36x^2+9y^2+36y-288=0 ?
The vertices 36x^2+9y^2+36y-288=0 is (0,4),(0,-8)