What is the foci x^2+y^2-8x-20y+115=0 ?

The foci x^2+y^2-8x-20y+115=0 is (4,10),(4,10)

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foci x^2+y^2-8x-20y+115=0

foci

x^{2} + y^{2} - 8 x - 20 y + 115 = 0

(4, 10), (4, 10)

Solution steps

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

Calculate ellipse properties

x^{2} + y^{2} - 8 x - 20 y + 115 = 0 :

Ellipse with center

(h, k) = (4, 10), b = 1, a = 1

(4, 10 + c), (4, 10 - c)

Compute

c :

c = 1^{2} - 1^{2} : 0

(4, 10 + 0), (4, 10 - 0)

Refine

(4, 10), (4, 10)

9 x^{2} + 16 y^{2} - 18 x - 64 y - 71 = 0

\frac{x ^{2}}{16} + \frac{y ^{2}}{5} = 1

81 x^{2} + 16 y^{2} = 1296

25 x^{2} + 9 y^{2} - 100 x - 90 y + 100 = 0

5 x^{2} + 7 y^{2} - 35 = 0

What is the foci x^2+y^2-8x-20y+115=0 ?
The foci x^2+y^2-8x-20y+115=0 is (4,10),(4,10)