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

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

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

foci

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

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

Solution steps

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

Calculate ellipse properties

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

Ellipse with center

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

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

Compute

c :

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

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

Refine

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

\frac{( x - 12 ) ^{2}}{289} + \frac{( y - 3 ) ^{2}}{64} = 1

9 X^{2} + 4 Y^{2} = 36

\frac{x ^{2}}{9} + \frac{y ^{2}}{36} = 1

4 (x - 1)^{2} + 9 (y - 1)^{2} = 36

\frac{( x + 1 ) ^{2}}{100} + \frac{( y + 2 ) ^{2}}{121} = 1

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