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

The vertices 25x^2+9y^2-100x+18y-116=0 is (2,4),(2,-6)

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

vertices

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

(2, 4), (2, - 6)

Solution steps

(h, k + b), (h, k - b)

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 + 5), (2, - 1 - 5)

Refine

(2, 4), (2, - 6)

10 x^{2} + 4 y^{2} + 2 x + 16 y = 144

9 x^{2} + 25 y^{2} + 18 x + 150 y + 9 = 0

9 x^{2} + 16 y^{2} - 54 x + 64 y + 1 = 0

x^{2} + 8 y^{2} = 32

2 x^{2} + y^{2} + 12 x - 6 y + 26 = 0

What is the vertices 25x^2+9y^2-100x+18y-116=0 ?
The vertices 25x^2+9y^2-100x+18y-116=0 is (2,4),(2,-6)