What is the foci 10x^2-25y^2=100 ?

The foci 10x^2-25y^2=100 is (sqrt(14),0),(-sqrt(14),0)

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foci 10x^2-25y^2=100

foci

10 x^{2} - 25 y^{2} = 100

(14, 0), (- 14, 0)

Solution steps

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

Calculate Hyperbola properties

10 x^{2} - 25 y^{2} = 100 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 10, b = 2

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

Compute

c :

c = 10^{2} + 2^{2} : 14

(0 + 14, 0), (0 - 14, 0)

Refine

(14, 0), (- 14, 0)

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

12 x^{2} - 3 y^{2} = 36

\frac{y ^{2}}{4} - \frac{x ^{2}}{36} = 1

64 y^{2} - 36 x^{2} = 2304

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

What is the foci 10x^2-25y^2=100 ?
The foci 10x^2-25y^2=100 is (sqrt(14),0),(-sqrt(14),0)