What is x^2-9y^2+2x+36y-44=0 ?

The solution to x^2-9y^2+2x+36y-44=0 is Hyperbola with (h,k)=(-1,2),a=3,b=1

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x^2-9y^2+2x+36y-44=0

x^{2} - 9 y^{2} + 2 x + 36 y - 44 = 0

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

Solution steps

x^{2} - 9 y^{2} + 2 x + 36 y - 44 = 0

Rewrite

x^{2} - 9 y^{2} + 2 x + 36 y - 44 = 0

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

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

x^{2} + (6 - 6) y^{2} = 1

15485863 = 4 x^{2} - y^{2}

(x - y) (x + y) > 4

y^{2} + 1 = 4 x^{2} + (- 1)

What is x^2-9y^2+2x+36y-44=0 ?
The solution to x^2-9y^2+2x+36y-44=0 is Hyperbola with (h,k)=(-1,2),a=3,b=1