What is the vertices 9y^2-25x^2-100x-108y-1=0 ?

The vertices 9y^2-25x^2-100x-108y-1=0 is (-2,11),(-2,1)

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vertices 9y^2-25x^2-100x-108y-1=0

vertices

9 y^{2} - 25 x^{2} - 100 x - 108 y - 1 = 0

(- 2, 11), (- 2, 1)

Solution steps

(h, k + a), (h, k - a)

Calculate Hyperbola properties

9 y^{2} - 25 x^{2} - 100 x - 108 y - 1 = 0 :

Up-down Hyperbola with

(h, k) = (- 2, 6), a = 5, b = 3

(- 2, 6 + 5), (- 2, 6 - 5)

Refine

(- 2, 11), (- 2, 1)

\frac{( x + 5 ) ^{2}}{4} - \frac{y ^{2}}{4} = 1

- 9 x^{2} + 8 y^{2} + 36 x + 48 y = 36

36 x^{2} - y^{2} - 216 x + 10 y + 263 = 0

4 x^{2} - 9 y^{2} - 36 = 0

9 x^{2} - 4 y^{2} - 54 x - 16 y + 29 = 0

What is the vertices 9y^2-25x^2-100x-108y-1=0 ?
The vertices 9y^2-25x^2-100x-108y-1=0 is (-2,11),(-2,1)