What is the foci 4x^2+25y^2-100=0 ?

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

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foci 4x^2+25y^2-100=0

foci

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

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

Solution steps

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

Calculate ellipse properties

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

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)

25 x^{2} + 9 y^{2} - 225 = 0

\frac{( x - 1 ) ^{2}}{36} + \frac{( y - 1 ) ^{2}}{25} = 1

9 x^{2} + 16 y^{2} + 72 x + 128 y + 256 = 0

\frac{( x - 3 ) ^{2}}{4} + \frac{( y + 1 ) ^{2}}{9} = 1

\frac{x ^{2}}{15} + \frac{y ^{2}}{64} = 1

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