What is y^2-x^2= 4/9 ?

The solution to y^2-x^2= 4/9 is Hyperbola with (h,k)=(0,0),a= 2/3 ,b= 2/3

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y^2-x^2= 4/9

y^{2} - x^{2} = \frac{4}{9}

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

Solution steps

y^{2} - x^{2} = \frac{4}{9}

Rewrite

y^{2} - x^{2} = \frac{4}{9}

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

9 x^{2} - 16 y^{2} - 36 x - 96 y - 252 = 0

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

\frac{y ^{2}}{121} - \frac{x ^{2}}{196} = 1

\frac{( x - 1 ) ^{2}}{9} - \frac{( y + 3 ) ^{2}}{4} = 1

4 x^{2} - 18 y^{2} = 36

What is y^2-x^2= 4/9 ?
The solution to y^2-x^2= 4/9 is Hyperbola with (h,k)=(0,0),a= 2/3 ,b= 2/3