What is the foci (y/(49))^2-(x/(36))^2=1 ?

The foci (y/(49))^2-(x/(36))^2=1 is (0,sqrt(3697)),(0,-sqrt(3697))

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foci (y/(49))^2-(x/(36))^2=1

foci

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

(0, 3697), (0, - 3697)

Solution steps

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

Calculate Hyperbola properties

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

Up-down Hyperbola with

(h, k) = (0, 0), a = 49, b = 36

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

Compute

c :

c = 4 9^{2} + 3 6^{2} : 3697

(0, 0 + 3697), (0, 0 - 3697)

Refine

(0, 3697), (0, - 3697)

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

\frac{( x - 3 ) ^{2}}{9} - \frac{( y - 2 ) ^{2}}{22} = 1

What is the foci (y/(49))^2-(x/(36))^2=1 ?
The foci (y/(49))^2-(x/(36))^2=1 is (0,sqrt(3697)),(0,-sqrt(3697))