What is the foci 25x^2+16y^2+100x-96y-156=0 ?

The foci 25x^2+16y^2+100x-96y-156=0 is (-2,6),(-2,0)

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foci 25x^2+16y^2+100x-96y-156=0

foci

(- 2, 6), (- 2, 0)

Solution steps

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

Calculate ellipse properties

25 x^{2} + 16 y^{2} + 100 x - 96 y - 156 = 0 :

Ellipse with center

(h, k) = (- 2, 3), b = 5, a = 4

(- 2, 3 + c), (- 2, 3 - c)

Compute

c :

c = 5^{2} - 4^{2} : 3

(- 2, 3 + 3), (- 2, 3 - 3)

Refine

(- 2, 6), (- 2, 0)

What is the foci 25x^2+16y^2+100x-96y-156=0 ?
The foci 25x^2+16y^2+100x-96y-156=0 is (-2,6),(-2,0)