What is x^2-y^2-2x-8=0 ?

The solution to x^2-y^2-2x-8=0 is Hyperbola with (h,k)=(1,0),a=3,b=3

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x^2-y^2-2x-8=0

x^{2} - y^{2} - 2 x - 8 = 0

(h, k) = (1, 0), a = 3, b = 3

Solution steps

x^{2} - y^{2} - 2 x - 8 = 0

Rewrite

x^{2} - y^{2} - 2 x - 8 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (1, 0), a = 3, b = 3

4 x^{2} - 9 y^{2} - 36 < 0

2 x^{2} - 3 y^{2} = 8

\frac{( ( x - 6 ) ^{2} )}{( 1 )} - \frac{( ( y - 5 ) ^{2} )}{( 3 )} = 1

10 x^{2} + 7 y^{2} - 5 = 1

0.11 x^{2} + 0.25 y^{2} = 1

What is x^2-y^2-2x-8=0 ?
The solution to x^2-y^2-2x-8=0 is Hyperbola with (h,k)=(1,0),a=3,b=3