What is the foci 1/144 x^2-1/196 y^2=1 ?

The foci 1/144 x^2-1/196 y^2=1 is (2sqrt(85),0),(-2sqrt(85),0)

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foci 1/144 x^2-1/196 y^2=1

foci

\frac{1}{144} x^{2} - \frac{1}{196} y^{2} = 1

(285, 0), (- 285, 0)

Solution steps

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

Calculate Hyperbola properties

\frac{1}{144} x^{2} - \frac{1}{196} y^{2} = 1 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 12, b = 14

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

Compute

c :

c = 1 2^{2} + 1 4^{2} : 285

(0 + 285, 0), (0 - 285, 0)

Refine

(285, 0), (- 285, 0)

- 9 x^{2} + y^{2} = 36

\frac{x ^{2}}{2} - \frac{y ^{2}}{3} = 1

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

9 x^{2} - 4 y^{2} - 18 x - 16 y - 43 = 0

9 x^{2} - 25 y^{2} = 225

What is the foci 1/144 x^2-1/196 y^2=1 ?
The foci 1/144 x^2-1/196 y^2=1 is (2sqrt(85),0),(-2sqrt(85),0)