What is x^2-9y^2-2x-36y=44 ?

The solution to x^2-9y^2-2x-36y=44 is Hyperbola with (h,k)=(1,-2),a=3,b=1

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x^2-9y^2-2x-36y=44

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

(h, k) = (1, - 2), a = 3, b = 1

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (1, - 2), a = 3, b = 1

- 2 x^{2} - y^{2} = 64 - 3 x^{2}

- x^{2} + 4 y^{2} - 2 x - 16 y + 11 = 0

y^{2} = x^{2} + 7

3 x^{2} - 5 y^{2} = - 2

1 = 2 x^{2} - y^{2}

What is x^2-9y^2-2x-36y=44 ?
The solution to x^2-9y^2-2x-36y=44 is Hyperbola with (h,k)=(1,-2),a=3,b=1