What is the foci 9y^2-25x^2=225 ?

The foci 9y^2-25x^2=225 is (0,sqrt(34)),(0,-sqrt(34))

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foci 9y^2-25x^2=225

foci

9 y^{2} - 25 x^{2} = 225

(0, 34), (0, - 34)

Solution steps

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

Calculate Hyperbola properties

9 y^{2} - 25 x^{2} = 225 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 5, b = 3

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

Compute

c :

c = 5^{2} + 3^{2} : 34

(0, 0 + 34), (0, 0 - 34)

Refine

(0, 34), (0, - 34)

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

\frac{x ^{2}}{81} + \frac{y ^{2}}{9} = 1

16 x^{2} + 16 y^{2} + 32 x + 8 y = 47

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

y^{2} = - 16 x

What is the foci 9y^2-25x^2=225 ?
The foci 9y^2-25x^2=225 is (0,sqrt(34)),(0,-sqrt(34))