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

The solution to 64x^2-100y^2=6400 is Hyperbola with (h,k)=(0,0),a=10,b=8

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64x^2-100y^2=6400

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{1 0 ^{2}} - \frac{( y - 0 ) ^{2}}{8 ^{2}} = 1

Therefore Hyperbola properties are:

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

\frac{x ^{2}}{49} - \frac{y ^{2}}{4} = 1

\frac{( y - 3 ) ^{2}}{16} - \frac{( x + 4 ) ^{2}}{25} = 1

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

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

\frac{( y + 2 ) ^{2}}{25} - \frac{( x - 3 ) ^{2}}{4} = 1

What is 64x^2-100y^2=6400 ?
The solution to 64x^2-100y^2=6400 is Hyperbola with (h,k)=(0,0),a=10,b=8