What is x^2-2y^2-2x-12y=35 ?

The solution to x^2-2y^2-2x-12y=35 is Hyperbola with (h,k)=(1,-3),a=3sqrt(2),b=3

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x^2-2y^2-2x-12y=35

x^{2} - 2 y^{2} - 2 x - 12 y = 35

(h, k) = (1, - 3), a = 32, b = 3

Solution steps

x^{2} - 2 y^{2} - 2 x - 12 y = 35

Rewrite

x^{2} - 2 y^{2} - 2 x - 12 y = 35

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (1, - 3), a = 32, b = 3

(y + 2)^{2} - x^{2} + y = 9

3 x^{2} - 6 x - 3 y^{2} = 0

x^{2} - y^{2} + 6 x - 9 y - 3 = 0

3 x^{2} - 6 x - 4 y^{2} - 9 = 0

9 x^{2} - 4 y^{2} - 18 x - 16 y = 43

What is x^2-2y^2-2x-12y=35 ?
The solution to x^2-2y^2-2x-12y=35 is Hyperbola with (h,k)=(1,-3),a=3sqrt(2),b=3