What is the foci 25x^2+9y^2-100x-54y-44=0 ?

The foci 25x^2+9y^2-100x-54y-44=0 is (2,7),(2,-1)

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foci 25x^2+9y^2-100x-54y-44=0

foci

25 x^{2} + 9 y^{2} - 100 x - 54 y - 44 = 0

(2, 7), (2, - 1)

Solution steps

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

Calculate ellipse properties

25 x^{2} + 9 y^{2} - 100 x - 54 y - 44 = 0 :

Ellipse with center

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

(2, 3 + c), (2, 3 - c)

Compute

c :

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

(2, 3 + 4), (2, 3 - 4)

Refine

(2, 7), (2, - 1)

25 x^{2} + 16 y^{2} + 100 x - 300 = 0

\frac{x ^{2}}{121} + \frac{( y + 4 ) ^{2}}{23} = 1

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

\frac{( x - 2 ) ^{2}}{16} + \frac{y ^{2}}{9} = 1

\frac{x ^{2}}{8} + \frac{y ^{2}}{5} = 1

What is the foci 25x^2+9y^2-100x-54y-44=0 ?
The foci 25x^2+9y^2-100x-54y-44=0 is (2,7),(2,-1)