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

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

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

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

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

Solution steps

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

Rewrite

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

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

9 y^{2} - 16 x^{2} - 18 y - 64 x - 199 = 0

6 y^{2} - 3 x^{2} = 6

9 y^{2} - 16 x^{2} - 64 x - 54 y - 127 = 0

y^{2} = x^{2} + 2 x - 15

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

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