y^2-x^2=8

Solution

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

(h, k) = (0, 0), a = 22, b = 22

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 22, b = 22

y^{2} - x^{2} = 5

\frac{x ^{2}}{6} - \frac{y ^{2}}{9} = 1

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

\frac{( x + 3 ) ^{2}}{9} - \frac{( y - 1 ) ^{2}}{49} = 1

9 y^{2} - z^{2} = 36

What is y^2-x^2=8 ?
The solution to y^2-x^2=8 is Hyperbola with (h,k)=(0,0),a=2sqrt(2),b=2sqrt(2)