What is the foci (y^2)/4-(x^2)/1 =1 ?

The foci (y^2)/4-(x^2)/1 =1 is (0,sqrt(5)),(0,-sqrt(5))

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foci (y^2)/4-(x^2)/1 =1

foci

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

(0, 5), (0, - 5)

Solution steps

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

Calculate Hyperbola properties

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

Up-down Hyperbola with

(h, k) = (0, 0), a = 2, b = 1

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

Compute

c :

c = 2^{2} + 1^{2} : 5

(0, 0 + 5), (0, 0 - 5)

Refine

(0, 5), (0, - 5)

y^{2} - 4 x^{2} + 4 x - 2 y - 4 = 0

5 x^{2} - 4 y^{2} + 80 = 0

+ 9 x^{2} - y^{2} - 36 x - 6 y + 18 = 0

\frac{( y + 5 ) ^{2}}{16} - \frac{( x + 3 ) ^{2}}{9} = 1

\frac{( y + 5 ) ^{2}}{\frac{1}{9}} - \frac{( x - 3 ) ^{2}}{\frac{1}{4}} = 1

What is the foci (y^2)/4-(x^2)/1 =1 ?
The foci (y^2)/4-(x^2)/1 =1 is (0,sqrt(5)),(0,-sqrt(5))