What is the foci (y^2)/(1600)-(x^2)/(5625)=1 ?

The foci (y^2)/(1600)-(x^2)/(5625)=1 is (0,85),(0,-85)

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foci (y^2)/(1600)-(x^2)/(5625)=1

foci

\frac{y ^{2}}{1600} - \frac{x ^{2}}{5625} = 1

(0, 85), (0, - 85)

Solution steps

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

Calculate Hyperbola properties

\frac{y ^{2}}{1600} - \frac{x ^{2}}{5625} = 1 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 40, b = 75

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

Compute

c :

c = 4 0^{2} + 7 5^{2} : 85

(0, 0 + 85), (0, 0 - 85)

Refine

(0, 85), (0, - 85)

\frac{( x + 2 ) ^{2}}{64} - \frac{( y - 3 ) ^{2}}{36} = 1

\frac{( y + 2 ) ^{2}}{25} - \frac{( x + 4 ) ^{2}}{9} = 1

(\frac{x - 6}{4})^{2} - (\frac{y}{4})^{2} = 1

25 y^{2} - 4 x^{2} = 100

\frac{( y + 3 ) ^{2}}{16} - \frac{( x + 1 ) ^{2}}{9} = 1

What is the foci (y^2)/(1600)-(x^2)/(5625)=1 ?
The foci (y^2)/(1600)-(x^2)/(5625)=1 is (0,85),(0,-85)