What is x^2-9y^2-10x+36y-2=0 ?

The solution to x^2-9y^2-10x+36y-2=0 is Hyperbola with (h,k)=(5,2),a=1,b=3

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x^2-9y^2-10x+36y-2=0

x^{2} - 9 y^{2} - 10 x + 36 y - 2 = 0

(h, k) = (5, 2), a = 1, b = 3

Solution steps

x^{2} - 9 y^{2} - 10 x + 36 y - 2 = 0

Rewrite

x^{2} - 9 y^{2} - 10 x + 36 y - 2 = 0

in the form of a standard hyperbola equation

\frac{( y - 2 ) ^{2}}{1 ^{2}} - \frac{( x - 5 ) ^{2}}{3 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (5, 2), a = 1, b = 3

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

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

x^{2} + y = x + y^{2} + 2018

\frac{( x - 2 ) ^{2}}{9} - \frac{( y - 1 ) ^{2}}{16} = 1

\frac{( x - 2 ) ^{2}}{4} - \frac{( y + 3 ) ^{2}}{5} = 1

What is x^2-9y^2-10x+36y-2=0 ?
The solution to x^2-9y^2-10x+36y-2=0 is Hyperbola with (h,k)=(5,2),a=1,b=3