What is the foci 36x^2+9y^2=324 ?

The foci 36x^2+9y^2=324 is (0,3sqrt(3)),(0,-3sqrt(3))

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foci 36x^2+9y^2=324

foci

36 x^{2} + 9 y^{2} = 324

(0, 33), (0, - 33)

Solution steps

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

Calculate ellipse properties

36 x^{2} + 9 y^{2} = 324 :

Ellipse with center

(h, k) = (0, 0), b = 6, a = 3

(0, 0 + c), (0, 0 - c)

Compute

c :

c = 6^{2} - 3^{2} : 33

(0, 0 + 33), (0, 0 - 33)

Refine

(0, 33), (0, - 33)

\frac{( x + 2 ) ^{2}}{100} + \frac{( y - 5 ) ^{2}}{36} = 1

25 x^{2} + 4 y^{2} - 100 x = 0

\frac{x ^{2}}{7} + \frac{y ^{2}}{43} = 1

3 x^{2} + 10 y^{2} = 30

\frac{( x - 1 ) ^{2}}{6} + \frac{( y - 3 ) ^{2}}{2} = 1

What is the foci 36x^2+9y^2=324 ?
The foci 36x^2+9y^2=324 is (0,3sqrt(3)),(0,-3sqrt(3))