What is the vertices 25x^2+9y^2-150x-18y+9=0 ?

The vertices 25x^2+9y^2-150x-18y+9=0 is (3,6),(3,-4)

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vertices 25x^2+9y^2-150x-18y+9=0

vertices

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

(3, 6), (3, - 4)

Solution steps

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

Calculate ellipse properties

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

Ellipse with center

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

(3, 1 + 5), (3, 1 - 5)

Refine

(3, 6), (3, - 4)

(x^{2} + 8 (y + 5)^{2}) = 20

x^{2} + 4 y^{2} = 4 x + 8

\frac{( x - 1 ) ^{2}}{3} + \frac{( y - 2 ) ^{2}}{5} = 1

\frac{( x - 3 ) ^{2}}{64} + \frac{( y + 5 ) ^{2}}{81} = 1

x^{2} + 4 y^{2} + 6 x + 16 y + 21 = 0

What is the vertices 25x^2+9y^2-150x-18y+9=0 ?
The vertices 25x^2+9y^2-150x-18y+9=0 is (3,6),(3,-4)