What is the foci (x^2}{16}-\frac{y^2)/4 =1 ?

The foci (x^2}{16}-\frac{y^2)/4 =1 is (2sqrt(5),0),(-2sqrt(5),0)

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foci (x^2}{16}-\frac{y^2)/4 =1

foci

\frac{x ^{2}}{16} - \frac{y ^{2}}{4} = 1

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

Solution steps

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

Calculate Hyperbola properties

\frac{x ^{2}}{16} - \frac{y ^{2}}{4} = 1 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 4, b = 2

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

Compute

c :

c = 4^{2} + 2^{2} : 25

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

Refine

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

x^{2} + \frac{y ^{2}}{49} = 1

\frac{x ^{2}}{4} - \frac{y ^{2}}{25} = 1

y^{2} = 16 x

\frac{x ^{2}}{16} - \frac{y ^{2}}{25} = 1

\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1

What is the foci (x^2}{16}-\frac{y^2)/4 =1 ?
The foci (x^2}{16}-\frac{y^2)/4 =1 is (2sqrt(5),0),(-2sqrt(5),0)