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

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

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

foci

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

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

Solution steps

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

Calculate Hyperbola properties

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

Up-down Hyperbola with

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

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

Compute

c :

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

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

Refine

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

\frac{y ^{2}}{36} - \frac{x ^{2}}{81} = 1

\frac{( x - 1 ) ^{2}}{4} - \frac{( y + 2 ) ^{2}}{1} = 1

9 x^{2} - y^{2} - 54 x - 2 y + 71 = 0

25 x^{2} + 56476 x - 25 y^{2} - 3 y = 48838

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

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