What is the foci 4y^2-x^2=900 ?

The foci 4y^2-x^2=900 is (0,15sqrt(5)),(0,-15sqrt(5))

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foci 4y^2-x^2=900

foci

4 y^{2} - x^{2} = 900

(0, 155), (0, - 155)

Solution steps

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

Calculate Hyperbola properties

4 y^{2} - x^{2} = 900 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 15, b = 30

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

Compute

c :

c = 1 5^{2} + 3 0^{2} : 155

(0, 0 + 155), (0, 0 - 155)

Refine

(0, 155), (0, - 155)

- \frac{( x - 2 ) ^{2}}{5} + \frac{( y + 1 ) ^{2}}{9} = 1

\frac{x ^{2}}{64} - \frac{y ^{2}}{32} = 1

25 y^{2} - 81 x^{2} = 2025

\frac{y ^{2}}{4} - \frac{x ^{2}}{16} = 1

\frac{( y + 3 ) ^{2}}{64} - \frac{( x + 6 ) ^{2}}{49} = 1

What is the foci 4y^2-x^2=900 ?
The foci 4y^2-x^2=900 is (0,15sqrt(5)),(0,-15sqrt(5))