What is x^2-y^2-6x-7=0 ?

The solution to x^2-y^2-6x-7=0 is Hyperbola with (h,k)=(3,0),a=4,b=4

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x^2-y^2-6x-7=0

x^{2} - y^{2} - 6 x - 7 = 0

(h, k) = (3, 0), a = 4, b = 4

Solution steps

x^{2} - y^{2} - 6 x - 7 = 0

Rewrite

x^{2} - y^{2} - 6 x - 7 = 0

in the form of a standard hyperbola equation

\frac{( x - 3 ) ^{2}}{4 ^{2}} - \frac{( y - 0 ) ^{2}}{4 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (3, 0), a = 4, b = 4

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

\frac{x ^{2}}{9} + \frac{2 x}{3} - 9 y^{2} - 54 y - 81 = 0

\frac{1}{36} x^{2} - \frac{1}{4} y^{2} = 1

\frac{x ^{2}}{32} - \frac{y ^{2}}{25} = 1

yy = x^{2} - 9

What is x^2-y^2-6x-7=0 ?
The solution to x^2-y^2-6x-7=0 is Hyperbola with (h,k)=(3,0),a=4,b=4