What is the foci ((y)^2)/(81)-((x)^2)/(121)=1 ?

The foci ((y)^2)/(81)-((x)^2)/(121)=1 is (0,sqrt(202)),(0,-sqrt(202))

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foci ((y)^2)/(81)-((x)^2)/(121)=1

foci

\frac{( y ) ^{2}}{81} - \frac{( x ) ^{2}}{121} = 1

(0, 202), (0, - 202)

Solution steps

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

Calculate Hyperbola properties

\frac{y ^{2}}{81} - \frac{x ^{2}}{121} = 1 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 9, b = 11

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

Compute

c :

c = 9^{2} + 1 1^{2} : 202

(0, 0 + 202), (0, 0 - 202)

Refine

(0, 202), (0, - 202)

x^{2} - y^{2} = 15

x^{2} - 10 x = 4 y^{2} - 5

2 x^{2} - 2 y^{2} - 20 x + 16 y - 16 = 0

\frac{y ^{2}}{25} - \frac{x ^{2}}{36} = 1

\frac{( x - 1 ) ^{2}}{12} - \frac{( y - 2 ) ^{2}}{8} = 1

What is the foci ((y)^2)/(81)-((x)^2)/(121)=1 ?
The foci ((y)^2)/(81)-((x)^2)/(121)=1 is (0,sqrt(202)),(0,-sqrt(202))