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

The solution to x^2-64y^2=64 is Hyperbola with (h,k)=(0,0),a=8,b=1

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x^2-64y^2=64

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

(h, k) = (0, 0), a = 8, b = 1

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 8, b = 1

\frac{36 ( x - 7 ) ^{2} - 64 ( y - 6 ) ^{2}}{2304} = 1

(y - 4)^{2} = \frac{4 ( x + 1 ) ^{2} + 84}{3}

3 (x + \frac{1}{3})^{2} - 3 (y - \frac{7}{3})^{2} = - 40

3 x^{2} - y^{2} = 25

\frac{( y - 3 ) ^{2}}{169} - \frac{( x + 2 ) ^{2}}{81} = 1

What is x^2-64y^2=64 ?
The solution to x^2-64y^2=64 is Hyperbola with (h,k)=(0,0),a=8,b=1