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

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

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

foci

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

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

Solution steps

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

Calculate Hyperbola properties

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

Up-down Hyperbola with

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

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

Compute

c :

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

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

Refine

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

- 9 x^{2} + y^{2} - 72 x - 153 = 0

f (x) = x^{2} - 2 x - 15

x^{2} - 9 y^{2} = 9

\frac{x ^{2}}{36} + \frac{y ^{2}}{100} = 1

f (x) = - x^{2} - 2 x + 3

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