What is the foci-25x^2+36y^2=900 ?

The foci-25x^2+36y^2=900 is (0,sqrt(61)),(0,-sqrt(61))

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foci-25x^2+36y^2=900

foci

- 25 x^{2} + 36 y^{2} = 900

(0, 61), (0, - 61)

Solution steps

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

Calculate Hyperbola properties

- 25 x^{2} + 36 y^{2} = 900 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 5, b = 6

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

Compute

c :

c = 5^{2} + 6^{2} : 61

(0, 0 + 61), (0, 0 - 61)

Refine

(0, 61), (0, - 61)

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

\frac{( y + 5 ) ^{2}}{9} - \frac{( x + 2 ) ^{2}}{16} = 1

- x^{2} + \frac{y ^{2}}{20} = 1

x^{2} - 16 y^{2} = 144

\frac{y ^{2}}{1 0 ^{2}} - \frac{x ^{2}}{2 4 ^{2}} = 1

What is the foci-25x^2+36y^2=900 ?
The foci-25x^2+36y^2=900 is (0,sqrt(61)),(0,-sqrt(61))