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

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

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y^2-16x^2=1

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

\frac{( y - 3 ) ^{2}}{9} - \frac{( x - 2 ) ^{2}}{16} = 1

x^{2} - y^{2} - 4 x - 6 y = 0

(3 x - 3)^{2} - (2 y - 4)^{2} = 68

64 x^{2} - 100 y^{2} = 6400

\frac{x ^{2}}{49} - \frac{y ^{2}}{4} = 1

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