What is the foci (x^2)/(36)+(y^2)/(16)=1 ?

The foci (x^2)/(36)+(y^2)/(16)=1 is (2sqrt(5),0),(-2sqrt(5),0)

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foci (x^2)/(36)+(y^2)/(16)=1

foci

\frac{x ^{2}}{36} + \frac{y ^{2}}{16} = 1

(25, 0), (- 25, 0)

Solution steps

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

Calculate ellipse properties

\frac{x ^{2}}{36} + \frac{y ^{2}}{16} = 1 :

Ellipse with center

(h, k) = (0, 0), a = 6, b = 4

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

Compute

c :

c = 6^{2} - 4^{2} : 25

(0 + 25, 0), (0 - 25, 0)

Refine

(25, 0), (- 25, 0)

\frac{x ^{2}}{4} + \frac{y ^{2}}{9} = 1

\frac{y ^{2}}{4} - \frac{x ^{2}}{5} = 1

25 x^{2} + 9 y^{2} = 225

\frac{x ^{2}}{100} + \frac{y ^{2}}{64} = 1

4 x^{2} - 20 x - 24 y + 97 = 0

What is the foci (x^2)/(36)+(y^2)/(16)=1 ?
The foci (x^2)/(36)+(y^2)/(16)=1 is (2sqrt(5),0),(-2sqrt(5),0)