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} - x

4 x^{2} - y^{2} + 8 x - 2 y + 7 = 0

x^{2} + 36 y - 32 x - y^{2} = 75

x^{2} - y^{2} + 4 x - 4 y - 1 = 0

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

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)