What is the foci 16y^2-49x^2=784 ?

The foci 16y^2-49x^2=784 is (0,sqrt(65)),(0,-sqrt(65))

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foci 16y^2-49x^2=784

foci

16 y^{2} - 49 x^{2} = 784

(0, 65), (0, - 65)

Solution steps

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

Calculate Hyperbola properties

16 y^{2} - 49 x^{2} = 784 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 7, b = 4

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

Compute

c :

c = 7^{2} + 4^{2} : 65

(0, 0 + 65), (0, 0 - 65)

Refine

(0, 65), (0, - 65)

\frac{( y + 2 ) ^{2}}{25} - \frac{( x - 9 ) ^{2}}{81} = 1

4 x^{2} - 9 y^{2} + 32 x - 18 y + 37 = 0

- 4 x^{2} + y^{2} + 40 x - 136 = 0

\frac{y ^{2}}{225} - \frac{x ^{2}}{324} = 1

- x^{2} + 8 x + 4 y^{2} - 40 y + 88 = 0

What is the foci 16y^2-49x^2=784 ?
The foci 16y^2-49x^2=784 is (0,sqrt(65)),(0,-sqrt(65))