What is the vertices 25x^2+y^2-100x+8y+91=0 ?

The vertices 25x^2+y^2-100x+8y+91=0 is (2,1),(2,-9)

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vertices 25x^2+y^2-100x+8y+91=0

vertices

25 x^{2} + y^{2} - 100 x + 8 y + 91 = 0

(2, 1), (2, - 9)

Solution steps

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

Calculate ellipse properties

25 x^{2} + y^{2} - 100 x + 8 y + 91 = 0 :

Ellipse with center

(h, k) = (2, - 4), b = 5, a = 1

(2, - 4 + 5), (2, - 4 - 5)

Refine

(2, 1), (2, - 9)

9 x^{2} + 4 y^{2} + 72 x - 40 y + 208 = 0

\frac{( x + 2 ) ^{2}}{9} + \frac{( y - 1 ) ^{2}}{25} = 1

3 x^{2} + 7 y^{2} - 12 x - 28 y + 19 = 0

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

9 x^{2} + 16 y^{2} = 576

What is the vertices 25x^2+y^2-100x+8y+91=0 ?
The vertices 25x^2+y^2-100x+8y+91=0 is (2,1),(2,-9)