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

The foci-x^2+25*y^2=25 is (0,sqrt(26)),(0,-sqrt(26))

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foci-x^2+25*y^2=25

foci

- x^{2} + 25 \cdot y^{2} = 25

(0, 26), (0, - 26)

Solution steps

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

Calculate Hyperbola properties

- x^{2} + 25 \cdot y^{2} = 25 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 1, b = 5

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

Compute

c :

c = 1^{2} + 5^{2} : 26

(0, 0 + 26), (0, 0 - 26)

Refine

(0, 26), (0, - 26)

4 x^{2} - y^{2} + 12 x + 5 = 0

\frac{( x - 13 ) ^{2}}{144} - \frac{y ^{2}}{25} = 1

9 x^{2} - 4 y^{2} - 90 x - 32 y = - 305

\frac{( y - 2 ) ^{2}}{40} - \frac{( x - 4 ) ^{2}}{9} = 1

5 y^{2} - 16 x^{2} + 400 = 0

What is the foci-x^2+25*y^2=25 ?
The foci-x^2+25*y^2=25 is (0,sqrt(26)),(0,-sqrt(26))