What is the foci 36y^2-4x^2=144 ?

The foci 36y^2-4x^2=144 is (0,2sqrt(10)),(0,-2sqrt(10))

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foci 36y^2-4x^2=144

foci

36 y^{2} - 4 x^{2} = 144

(0, 210), (0, - 210)

Solution steps

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

Calculate Hyperbola properties

36 y^{2} - 4 x^{2} = 144 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 2, b = 6

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

Compute

c :

c = 2^{2} + 6^{2} : 210

(0, 0 + 210), (0, 0 - 210)

Refine

(0, 210), (0, - 210)

x^{2} - 4 y^{2} + 8 x + 16 y - 4 = 0

5 x^{2} - 2 y^{2} + 10 x - 12 y = 23

4 x^{2} - 9 y^{2} - 24 x - 36 y - 36 = 0

9 x^{2} = 4 y^{2} - 12

\frac{( x ^{2} )}{4} - 0.2 y^{2} = 1

What is the foci 36y^2-4x^2=144 ?
The foci 36y^2-4x^2=144 is (0,2sqrt(10)),(0,-2sqrt(10))