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

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

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16x^2-y^2=16

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

16 y^{2} - 9 x^{2} + 36 x + 96 y - 36 = 0

4 x^{2} - 25 y^{2} - 8 x - 100 y - 196 = 0

- \frac{x ^{2}}{25} + \frac{y ^{2}}{144} = 1

y^{2} - 2 x^{2} - 4 = 0

9 x^{2} - 16 y^{2} - 18 x + 32 y - 151 = 0

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