What is the foci 64x^2-100y^2=6400 ?

The foci 64x^2-100y^2=6400 is (2sqrt(41),0),(-2sqrt(41),0)

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foci 64x^2-100y^2=6400

foci

64 x^{2} - 100 y^{2} = 6400

(241, 0), (- 241, 0)

Solution steps

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

Calculate Hyperbola properties

64 x^{2} - 100 y^{2} = 6400 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 10, b = 8

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

Compute

c :

c = 1 0^{2} + 8^{2} : 241

(0 + 241, 0), (0 - 241, 0)

Refine

(241, 0), (- 241, 0)

(\frac{( x ^{2} )}{27}) - \frac{( ( y - 3 ) ^{2} )}{36} = 1

\frac{( x - 7 ) ^{2}}{25} - \frac{y ^{2}}{16} = 1

\frac{x ^{2}}{5} - \frac{y ^{2}}{7} = 1

\frac{( x - 6 ) ^{2}}{25} - \frac{( y + 4 ) ^{2}}{9} = 1

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

What is the foci 64x^2-100y^2=6400 ?
The foci 64x^2-100y^2=6400 is (2sqrt(41),0),(-2sqrt(41),0)