What is the foci 9y^2-49x^2=441 ?

The foci 9y^2-49x^2=441 is (0,sqrt(58)),(0,-sqrt(58))

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foci 9y^2-49x^2=441

foci

9 y^{2} - 49 x^{2} = 441

(0, 58), (0, - 58)

Solution steps

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

Calculate Hyperbola properties

9 y^{2} - 49 x^{2} = 441 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 7, b = 3

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

Compute

c :

c = 7^{2} + 3^{2} : 58

(0, 0 + 58), (0, 0 - 58)

Refine

(0, 58), (0, - 58)

\frac{x ^{2}}{25} - \frac{y ^{2}}{16} = 1

y^{2} + 6 y - 2 x + 13 = 0

x^{2} + y^{2} - 25 = 0

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

\frac{x ^{2}}{4} + \frac{y ^{2}}{9} = 1

What is the foci 9y^2-49x^2=441 ?
The foci 9y^2-49x^2=441 is (0,sqrt(58)),(0,-sqrt(58))