What is the foci 9x^2-25y^2=225 ?

The foci 9x^2-25y^2=225 is (sqrt(34),0),(-sqrt(34),0)

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foci 9x^2-25y^2=225

foci

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

(34, 0), (- 34, 0)

Solution steps

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

Calculate Hyperbola properties

9 x^{2} - 25 y^{2} = 225 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 5, b = 3

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

Compute

c :

c = 5^{2} + 3^{2} : 34

(0 + 34, 0), (0 - 34, 0)

Refine

(34, 0), (- 34, 0)

\frac{x ^{2}}{9} - \frac{y ^{2}}{64} = 1

x = x^{2} - \frac{y ^{2}}{9}

11 x^{2} - 7 y^{2} = 77

9 x^{2} - 4 y^{2} = 144

\frac{( x - 5 ) ^{2}}{16} - \frac{( y - 4 ) ^{2}}{64} = 1

What is the foci 9x^2-25y^2=225 ?
The foci 9x^2-25y^2=225 is (sqrt(34),0),(-sqrt(34),0)