What is y^2-9x^2-6y-18x-9=0 ?

The solution to y^2-9x^2-6y-18x-9=0 is Hyperbola with (h,k)=(-1,3),a=3,b=1

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y^2-9x^2-6y-18x-9=0

y^{2} - 9 x^{2} - 6 y - 18 x - 9 = 0

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

Solution steps

y^{2} - 9 x^{2} - 6 y - 18 x - 9 = 0

Rewrite

y^{2} - 9 x^{2} - 6 y - 18 x - 9 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

\frac{11 x ^{2}}{2} - 22 y^{2} + 11 x + 88 y - \frac{209}{2} = 0

- x^{2} + y^{2} - 4 x - 13 = 0

z^{2} + 1 0^{2} = 2 + q^{2} + \frac{9 6 ^{2}}{2}

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

\frac{( x - 4 ) ^{2}}{25} - \frac{( y + 8 ) ^{2}}{49} = 1

What is y^2-9x^2-6y-18x-9=0 ?
The solution to y^2-9x^2-6y-18x-9=0 is Hyperbola with (h,k)=(-1,3),a=3,b=1