What is x^2-6x-y^2-2y=9 ?

The solution to x^2-6x-y^2-2y=9 is Hyperbola with (h,k)=(3,-1),a=sqrt(17),b=sqrt(17)

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x^2-6x-y^2-2y=9

x^{2} - 6 x - y^{2} - 2 y = 9

(h, k) = (3, - 1), a = 17, b = 17

Solution steps

x^{2} - 6 x - y^{2} - 2 y = 9

Rewrite

x^{2} - 6 x - y^{2} - 2 y = 9

in the form of a standard hyperbola equation

\frac{( x - 3 ) ^{2}}{( 17 ) ^{2}} - \frac{( y - ( - 1 ) ) ^{2}}{( 17 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (3, - 1), a = 17, b = 17

f (x) (f (x)) = x^{2} - x + 1

16 x^{2} - y^{2} = 64

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

4 x^{2} - 9 y^{2} - 16 x - 36 y + 16 = 0

19 x^{2} - 16 y^{2} + 54 x - 63 = 0

What is x^2-6x-y^2-2y=9 ?
The solution to x^2-6x-y^2-2y=9 is Hyperbola with (h,k)=(3,-1),a=sqrt(17),b=sqrt(17)