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

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

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

foci

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

(2, 21), (2, - 21)

Solution steps

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

Calculate ellipse properties

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

Ellipse with center

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

(2, 0 + c), (2, 0 - c)

Compute

c :

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

(2, 0 + 21), (2, 0 - 21)

Refine

(2, 21), (2, - 21)

\frac{x ^{2}}{7} + \frac{y ^{2}}{43} = 1

3 x^{2} + 10 y^{2} = 30

\frac{( x - 1 ) ^{2}}{6} + \frac{( y - 3 ) ^{2}}{2} = 1

\frac{x ^{2}}{81} + \frac{y ^{2}}{225} = 1

\frac{( x + 4 ) ^{2}}{4} + \frac{( y + 1 ) ^{2}}{16} = 1

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