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

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

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x^2-2y^2=-1

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

(h, k) = (0, 0), a = \frac{1}{2}, b = 1

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{1}{2}, b = 1

2 x^{2} - 2 y^{2} - 20 x + 16 y - 16 = 0

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

(x + 5)^{2} - (y - 7)^{2} = 1

\frac{1}{2} y^{2} - 2 y = \frac{3}{2} x^{2} - 5 x

\frac{x ^{2}}{49} - \frac{y ^{2}}{44} = 1

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