What is x^2-y^2-2x-2y-1=0 ?

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

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x^2-y^2-2x-2y-1=0

x^{2} - y^{2} - 2 x - 2 y - 1 = 0

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

Solution steps

x^{2} - y^{2} - 2 x - 2 y - 1 = 0

Rewrite

x^{2} - y^{2} - 2 x - 2 y - 1 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

x, h (x)^{2} = 13 x^{2} - 6 x + 1

\frac{8 ( x ^{2} - \frac{1}{4} )}{\frac{9}{2}} - 9 y^{2} \frac{9}{2} = \frac{\frac{9}{2}}{\frac{9}{2}}

9 x^{2} - y^{2} = 144

\frac{( x + 4 ) ^{2}}{4} - \frac{( y - 5 ) ^{2}}{45} = 1

\frac{- x ^{2}}{36} + \frac{y ^{2}}{16} = 1

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