What is the foci 49y^2-100x^2=4900 ?

The foci 49y^2-100x^2=4900 is (0,sqrt(149)),(0,-sqrt(149))

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foci 49y^2-100x^2=4900

foci

49 y^{2} - 100 x^{2} = 4900

(0, 149), (0, - 149)

Solution steps

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

Calculate Hyperbola properties

49 y^{2} - 100 x^{2} = 4900 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 10, b = 7

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

Compute

c :

c = 1 0^{2} + 7^{2} : 149

(0, 0 + 149), (0, 0 - 149)

Refine

(0, 149), (0, - 149)

\frac{x ^{2}}{64} - \frac{y ^{2}}{4} = 1

\frac{( x - 1 ) ^{2}}{25} - \frac{( y - 2 ) ^{2}}{16} = 1

9 x^{2} - 16 y^{2} - 108 x + 64 y + 116 = 0

y^{2} - x^{2} = \frac{9}{25}

\frac{y ^{2}}{25} - \frac{x ^{2}}{11} = 1

What is the foci 49y^2-100x^2=4900 ?
The foci 49y^2-100x^2=4900 is (0,sqrt(149)),(0,-sqrt(149))