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

The foci 25x^2+9y^2-150x-18y+9=0 is (3,5),(3,-3)

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

foci

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

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

Solution steps

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

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 + c), (3, 1 - c)

Compute

c :

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

(3, 1 + 4), (3, 1 - 4)

Refine

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

\frac{x ^{2}}{64} + \frac{y ^{2}}{4} = 1

\frac{( x - 1 ) ^{2}}{9} + \frac{( y - 5 ) ^{2}}{25} = 1

16 x^{2} + 64 x + 4 y^{2} - 8 y + 4 = 0

\frac{x ^{2}}{17} + \frac{y ^{2}}{35} = 1

64 x^{2} + 81 y^{2} = 5184

What is the foci 25x^2+9y^2-150x-18y+9=0 ?
The foci 25x^2+9y^2-150x-18y+9=0 is (3,5),(3,-3)