What is x^2-y^2= 2/3 ?

The solution to x^2-y^2= 2/3 is Hyperbola with (h,k)=(0,0),a=sqrt(2/3),b=sqrt(2/3)

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x^2-y^2= 2/3

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

(h, k) = (0, 0), a = \frac{2}{3}, b = \frac{2}{3}

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{2}{3}, b = \frac{2}{3}

2 x^{2} = 2 y^{2} + 8

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

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

\frac{( x - 5 ) ^{2}}{16} - \frac{( y - 10 ) ^{2}}{10} = 1

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

What is x^2-y^2= 2/3 ?
The solution to x^2-y^2= 2/3 is Hyperbola with (h,k)=(0,0),a=sqrt(2/3),b=sqrt(2/3)