What is y^2-16x^2=16 ?

The solution to y^2-16x^2=16 is Hyperbola with (h,k)=(0,0),a=4,b=1

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y^2-16x^2=16

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

(h, k) = (0, 0), a = 4, b = 1

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{4 ^{2}} - \frac{( x - 0 ) ^{2}}{1 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 4, b = 1

- 4 y^{2} + x^{2} + 8 x - 8 y = - 8

4 x^{2} - 25 y^{2} - 40 x - 150 y - 225 = 0

4 x^{2} - 5 y^{2} - 32 x + 10 y + 79 = 0

(x + k (x)) (x - k (x)) = k (x)

\frac{x ^{2}}{16} - \frac{y ^{2}}{64} = 1

What is y^2-16x^2=16 ?
The solution to y^2-16x^2=16 is Hyperbola with (h,k)=(0,0),a=4,b=1