What is the foci 25x^2+9y^2-100x-90y+100=0 ?

The foci 25x^2+9y^2-100x-90y+100=0 is (2,9),(2,1)

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

foci

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

(2, 9), (2, 1)

Solution steps

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

Calculate ellipse properties

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

Ellipse with center

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

(2, 5 + c), (2, 5 - c)

Compute

c :

c = 5^{2} - 3^{2} : 4

(2, 5 + 4), (2, 5 - 4)

Refine

(2, 9), (2, 1)

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

4 (x - 1)^{2} + 13 (y + 3)^{2} = 52

x^{2} + 5 y^{2} - 4 x + 20 y = - 19

\frac{( x - 1 ) ^{2}}{5} + \frac{( y + 1 ) ^{2}}{9} = 1

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

What is the foci 25x^2+9y^2-100x-90y+100=0 ?
The foci 25x^2+9y^2-100x-90y+100=0 is (2,9),(2,1)