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

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

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

foci

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

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

Solution steps

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

Calculate Hyperbola properties

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

Right-left Hyperbola with

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

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

Compute

c :

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

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

Refine

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

\frac{( y - 5 ) ^{2}}{16} - \frac{( x - 4 ) ^{2}}{9} = 1

\frac{( x - 1 ) ^{2}}{4} - (y + 3)^{2} = 1

144 y^{2} - 25 x^{2} = 3600

\frac{y ^{2}}{25} - \frac{x ^{2}}{39} = 1

16 y^{2} - 25 x^{2} = 1600

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