What is the foci 144y^2-25x^2=3600 ?

The foci 144y^2-25x^2=3600 is (0,13),(0,-13)

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foci 144y^2-25x^2=3600

foci

144 y^{2} - 25 x^{2} = 3600

(0, 13), (0, - 13)

Solution steps

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

Calculate Hyperbola properties

144 y^{2} - 25 x^{2} = 3600 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 5, b = 12

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

Compute

c :

c = 5^{2} + 1 2^{2} : 13

(0, 0 + 13), (0, 0 - 13)

Refine

(0, 13), (0, - 13)

\frac{y ^{2}}{25} - \frac{x ^{2}}{39} = 1

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

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

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

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

What is the foci 144y^2-25x^2=3600 ?
The foci 144y^2-25x^2=3600 is (0,13),(0,-13)