What is the foci 49y^2-x^2=49 ?

The foci 49y^2-x^2=49 is (0,5sqrt(2)),(0,-5sqrt(2))

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foci 49y^2-x^2=49

foci

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

(0, 52), (0, - 52)

Solution steps

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

Calculate Hyperbola properties

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

Up-down Hyperbola with

(h, k) = (0, 0), a = 1, b = 7

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

Compute

c :

c = 1^{2} + 7^{2} : 52

(0, 0 + 52), (0, 0 - 52)

Refine

(0, 52), (0, - 52)

\frac{x ^{2}}{81} - \frac{y ^{2}}{1 6 ^{2}} = 1

9 x^{2} - 4 y^{2} + 72 x + 180 = 0

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

\frac{x ^{2}}{900} - \frac{y ^{2}}{1600} = 1

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

What is the foci 49y^2-x^2=49 ?
The foci 49y^2-x^2=49 is (0,5sqrt(2)),(0,-5sqrt(2))