What is the foci 25x^2+9y^2-100x+18y-116=0 ?

The foci 25x^2+9y^2-100x+18y-116=0 is (2,3),(2,-5)

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foci 25x^2+9y^2-100x+18y-116=0

foci

25 x^{2} + 9 y^{2} - 100 x + 18 y - 116 = 0

(2, 3), (2, - 5)

Solution steps

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

Calculate ellipse properties

25 x^{2} + 9 y^{2} - 100 x + 18 y - 116 = 0 :

Ellipse with center

(h, k) = (2, - 1), b = 5, a = 3

(2, - 1 + c), (2, - 1 - c)

Compute

c :

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

(2, - 1 + 4), (2, - 1 - 4)

Refine

(2, 3), (2, - 5)

\frac{x ^{2}}{81} + \frac{y ^{2}}{49} = 1

\frac{x ^{2}}{64} + \frac{y ^{2}}{100} = 1

x^{2} + 2 y^{2} - 2 x + 8 y + 5 = 0

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

x^{2} + 3 y^{2} + 2 x - 12 y + 10 = 0

What is the foci 25x^2+9y^2-100x+18y-116=0 ?
The foci 25x^2+9y^2-100x+18y-116=0 is (2,3),(2,-5)