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

\frac{x ^{2}}{100} - \frac{y ^{2}}{75} = 1

64 x^{2} - 36 y^{2} + 192 x + 36 y - 441 = 0

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

\frac{( x + 5 ) ^{2}}{16} - \frac{( y - 2 ) ^{2}}{36} = 2

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