What is 16x^2-y^2=1 ?

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

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16x^2-y^2=1

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

(h, k) = (0, 0), a = \frac{1}{4}, b = 1

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{1}{4}, b = 1

9 x^{2} - 16 y^{2} - 54 x - 64 y - 127 = 0

4 x^{2} - 5 y^{2} = 7

\frac{1}{x ^{2} - y ^{2}} \geq 1

- x^{2} + 2 y^{2} + 6 x - 7 y = 7

16 y^{2} - 9 x^{2} + 90 x - 64 y - 305 = 0

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