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

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

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

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

(h, k) = (0, 0), a = 2, b = 1

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 2, b = 1

(y - 2)^{2} - 4 (x + 2)^{2} = 4

x^{2} + y = x + y^{2} + 2018

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

\frac{( x - 2 ) ^{2}}{4} - \frac{( y + 3 ) ^{2}}{5} = 1

\frac{( x - 4 ) ^{2}}{36} - \frac{( y + 3 ) ^{2}}{25} = 1

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