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

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

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x^2-y^2-2=0

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

9 y^{2} - 4 x^{2} - 36 = 0

6 (x + \frac{1}{3})^{2} - 6 (y - \frac{1}{2})^{2} + 24 = 0

(y)^{2} + (5)^{2} = (6 + 2 + x)^{2}

y^{2} - 9 x^{2} - 6 y - 18 x - 9 = 0

\frac{11 x ^{2}}{2} - 22 y^{2} + 11 x + 88 y - \frac{209}{2} = 0

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