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

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

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

foci

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

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

Solution steps

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

Calculate Hyperbola properties

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

Right-left Hyperbola with

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

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

Compute

c :

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

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

Refine

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

(\frac{y}{49})^{2} - (\frac{x}{36})^{2} = 1

25 y^{2} - 64 x^{2} = 1600

4 y^{2} - 16 x^{2} = 64

y^{2} - 9 x^{2} - 36 x - 8 y - 29 = 0

x^{2} - y^{2} - 4 x - 2 y - 13 = 0

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