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

The foci 25y^2-x^2=100 is (0,2sqrt(26)),(0,-2sqrt(26))

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foci 25y^2-x^2=100

foci

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

(0, 226), (0, - 226)

Solution steps

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

Calculate Hyperbola properties

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

Up-down Hyperbola with

(h, k) = (0, 0), a = 2, b = 10

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

Compute

c :

c = 2^{2} + 1 0^{2} : 226

(0, 0 + 226), (0, 0 - 226)

Refine

(0, 226), (0, - 226)

- 3 x^{2} + 2 y^{2} + 6 x - 7 y = 7

\frac{x ^{2}}{36} - \frac{y ^{2}}{16} = 1

x^{2} - y^{2} = 49

\frac{x ^{2}}{9} - \frac{y ^{2}}{7} = 1

\frac{x ^{2}}{100} - \frac{y ^{2}}{64} = 1

What is the foci 25y^2-x^2=100 ?
The foci 25y^2-x^2=100 is (0,2sqrt(26)),(0,-2sqrt(26))