What is the foci 49x^2+16y^2=784 ?

The foci 49x^2+16y^2=784 is (0,sqrt(33)),(0,-sqrt(33))

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foci 49x^2+16y^2=784

foci

49 x^{2} + 16 y^{2} = 784

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

Solution steps

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

Calculate ellipse properties

49 x^{2} + 16 y^{2} = 784 :

Ellipse with center

(h, k) = (0, 0), b = 7, a = 4

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

Compute

c :

c = 7^{2} - 4^{2} : 33

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

Refine

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

3 x^{2}

y^{2} - 8 x + 2 y + 17 = 0

x^{2} = - 36 y

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

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

What is the foci 49x^2+16y^2=784 ?
The foci 49x^2+16y^2=784 is (0,sqrt(33)),(0,-sqrt(33))