What is the foci 4x^2-25y^2=100 ?

The foci 4x^2-25y^2=100 is (sqrt(29),0),(-sqrt(29),0)

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foci 4x^2-25y^2=100

foci

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

(29, 0), (- 29, 0)

Solution steps

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

Calculate Hyperbola properties

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

Right-left Hyperbola with

(h, k) = (0, 0), a = 5, b = 2

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

Compute

c :

c = 5^{2} + 2^{2} : 29

(0 + 29, 0), (0 - 29, 0)

Refine

(29, 0), (- 29, 0)

\frac{y ^{2}}{3} - \frac{x ^{2}}{3} = 1

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

\frac{( y + 3 ) ^{2}}{10} - \frac{( x - 3 ) ^{2}}{20} = 1

\frac{x ^{2}}{64} - \frac{y ^{2}}{- 39} = 1

- \frac{x ^{2}}{144} + \frac{y ^{2}}{25} = 1

What is the foci 4x^2-25y^2=100 ?
The foci 4x^2-25y^2=100 is (sqrt(29),0),(-sqrt(29),0)