What is the foci 4x^2+25y^2=100 ?

The foci 4x^2+25y^2=100 is (sqrt(21),0),(-sqrt(21),0)

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foci 4x^2+25y^2=100

foci

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

(21, 0), (- 21, 0)

Solution steps

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

Calculate ellipse properties

4 x^{2} + 25 y^{2} = 100 :

Ellipse with center

(h, k) = (0, 0), a = 5, b = 2

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

Compute

c :

c = 5^{2} - 2^{2} : 21

(0 + 21, 0), (0 - 21, 0)

Refine

(21, 0), (- 21, 0)

\frac{y ^{2}}{25} + \frac{x ^{2}}{9} = 1

4 x^{2} + 2 y^{2} + 2 x - 8 y + 7 = 0

9 x^{2} - 36 x + 4 y^{2} = 0

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

25 x^{2} + 16 y^{2} + 50 x - 64 y - 311 = 0

What is the foci 4x^2+25y^2=100 ?
The foci 4x^2+25y^2=100 is (sqrt(21),0),(-sqrt(21),0)