What is the foci 4x^2+81y^2=324 ?

The foci 4x^2+81y^2=324 is (sqrt(77),0),(-sqrt(77),0)

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foci 4x^2+81y^2=324

foci

4 x^{2} + 81 y^{2} = 324

(77, 0), (- 77, 0)

Solution steps

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

Calculate ellipse properties

4 x^{2} + 81 y^{2} = 324 :

Ellipse with center

(h, k) = (0, 0), a = 9, b = 2

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

Compute

c :

c = 9^{2} - 2^{2} : 77

(0 + 77, 0), (0 - 77, 0)

Refine

(77, 0), (- 77, 0)

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

7 x^{2} = 21 - 3 y^{2}

9 x^{2} + 25 y^{2} + 18 x + 50 y - 191 = 0

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

3 x^{2} - 6 x + y^{2} + 4 y - 11 = 0

What is the foci 4x^2+81y^2=324 ?
The foci 4x^2+81y^2=324 is (sqrt(77),0),(-sqrt(77),0)