What is ((x-2)^2)/4-(y-1)^2=-1 ?

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

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((x-2)^2)/4-(y-1)^2=-1

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

(h, k) = (2, 1), a = 1, b = 2

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (2, 1), a = 1, b = 2

- x^{2} + 36 y^{2} = 36

x^{2} - 4 y^{2} - 2 x - 16 y - 19 = 0

\frac{1}{x - y} + \frac{1}{x + y} = 5

\frac{( x - 8 ) ^{2}}{64} - \frac{( y - 9 ) ^{2}}{4} = 1

a^{2} - b^{2} = 4

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