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

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

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x^2-2x+1-y^2=1

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

- x^{2} + y^{2} - 9 = 0

\frac{y ^{2}}{27} - \frac{x ^{2}}{9} = 1

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

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

2 x^{2} - 3 y^{2} = 9

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