x^2-y^2=1

Solution

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

x^{2} + y^{2} - 32 x - 60 y + 1122 = 0

x^{2}

\frac{x ^{2}}{36} + \frac{y ^{2}}{9} = 1

x^{2} - 4 y = 0

\frac{( x - 4 ) ^{2}}{36} - \frac{( y - 2 ) ^{2}}{9} = 1

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