What is the foci (x^2}{16}+\frac{y^2)/9 =1 ?

The foci (x^2}{16}+\frac{y^2)/9 =1 is (sqrt(7),0),(-sqrt(7),0)

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

foci

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

(7, 0), (- 7, 0)

Solution steps

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

Calculate ellipse properties

\frac{x ^{2}}{16} + \frac{y ^{2}}{9} = 1 :

Ellipse with center

(h, k) = (0, 0), a = 4, b = 3

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

Compute

c :

c = 4^{2} - 3^{2} : 7

(0 + 7, 0), (0 - 7, 0)

Refine

(7, 0), (- 7, 0)

x = - \frac{1}{8} y^{2}

y^{2} = - 32 x

x^{2} - 6 x + 5 y = - 34

x = - 3 y^{2}

9 x^{2} - 4 y^{2} = 36

What is the foci (x^2}{16}+\frac{y^2)/9 =1 ?
The foci (x^2}{16}+\frac{y^2)/9 =1 is (sqrt(7),0),(-sqrt(7),0)