What is the foci 25y^2-4x^2=100 ?

The foci 25y^2-4x^2=100 is (0,sqrt(29)),(0,-sqrt(29))

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foci 25y^2-4x^2=100

foci

25 y^{2} - 4 x^{2} = 100

(0, 29), (0, - 29)

Solution steps

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

Calculate Hyperbola properties

25 y^{2} - 4 x^{2} = 100 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 2, b = 5

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

Compute

c :

c = 2^{2} + 5^{2} : 29

(0, 0 + 29), (0, 0 - 29)

Refine

(0, 29), (0, - 29)

\frac{( y + 3 ) ^{2}}{16} - \frac{( x + 1 ) ^{2}}{9} = 1

4 x^{2} - 9 y^{2} + 3 x + 18 y + 91 = 0

4 x^{2} - 25 y^{2} = 100

\frac{y ^{2}}{3} - \frac{x ^{2}}{3} = 1

y^{2} - x^{2} = \frac{4}{25}

What is the foci 25y^2-4x^2=100 ?
The foci 25y^2-4x^2=100 is (0,sqrt(29)),(0,-sqrt(29))