x^2-y^2=6

Solution

x^{2} - y^{2} = 6

(h, k) = (0, 0), a = 6, b = 6

Solution steps

x^{2} - y^{2} = 6

Rewrite

x^{2} - y^{2} = 6

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 6, b = 6

x^{2} - 9 y^{2} + 2 x + 36 y - 44 = 0

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

x^{2} + (6 - 6) y^{2} = 1

15485863 = 4 x^{2} - y^{2}

(x - y) (x + y) > 4

What is x^2-y^2=6 ?
The solution to x^2-y^2=6 is Hyperbola with (h,k)=(0,0),a=sqrt(6),b=sqrt(6)