What is the foci 9y^2-4x^2-36y-8x=4 ?

The foci 9y^2-4x^2-36y-8x=4 is (-1,2+sqrt(13)),(-1,2-sqrt(13))

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foci 9y^2-4x^2-36y-8x=4

foci

9 y^{2} - 4 x^{2} - 36 y - 8 x = 4

(- 1, 2 + 13), (- 1, 2 - 13)

Solution steps

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

Calculate Hyperbola properties

9 y^{2} - 4 x^{2} - 36 y - 8 x = 4 :

Up-down Hyperbola with

(h, k) = (- 1, 2), a = 2, b = 3

(- 1, 2 + c), (- 1, 2 - c)

Compute

c :

c = 2^{2} + 3^{2} : 13

(- 1, 2 + 13), (- 1, 2 - 13)

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

\frac{x ^{2}}{36} - \frac{y ^{2}}{9} = 1

y^{2} = x^{2} - 8

\frac{x ^{2}}{36} - \frac{y ^{2}}{13} = 1

\frac{( x + 2 ) ^{2}}{16} - \frac{( y - 1 ) ^{2}}{9} = 1

What is the foci 9y^2-4x^2-36y-8x=4 ?
The foci 9y^2-4x^2-36y-8x=4 is (-1,2+sqrt(13)),(-1,2-sqrt(13))