What is x^2-16y^2-16=0 ?

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

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x^2-16y^2-16=0

x^{2} - 16 y^{2} - 16 = 0

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

Solution steps

x^{2} - 16 y^{2} - 16 = 0

Rewrite

x^{2} - 16 y^{2} - 16 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

4 x^{2} - 9 y^{2} = 15

(x - 2)^{2} - (y + 3)^{2} = 13

\frac{( x - 6 ) ^{2}}{4} - \frac{( y + 6 ) ^{2}}{81} = 1

x^{2} - y^{2} - 8 x - 4 y - 61 = 0

x^{2} - y^{2} + x - \frac{1}{2} y + 1 = 0

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