What is the foci 4x^2+25y^2+40x-150y+225=0 ?

The foci 4x^2+25y^2+40x-150y+225=0 is (-5+sqrt(21),3),(-5-sqrt(21),3)

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foci 4x^2+25y^2+40x-150y+225=0

foci

(- 5 + 21, 3), (- 5 - 21, 3)

Solution steps

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

Calculate ellipse properties

4 x^{2} + 25 y^{2} + 40 x - 150 y + 225 = 0 :

Ellipse with center

(h, k) = (- 5, 3), a = 5, b = 2

(- 5 + c, 3), (- 5 - c, 3)

Compute

c :

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

(- 5 + 21, 3), (- 5 - 21, 3)

What is the foci 4x^2+25y^2+40x-150y+225=0 ?
The foci 4x^2+25y^2+40x-150y+225=0 is (-5+sqrt(21),3),(-5-sqrt(21),3)