What is 9x^2-4y^2-36x-8y-4=0 ?

The solution to 9x^2-4y^2-36x-8y-4=0 is Hyperbola with (h,k)=(2,-1),a=2,b=3

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9x^2-4y^2-36x-8y-4=0

9 x^{2} - 4 y^{2} - 36 x - 8 y - 4 = 0

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

Solution steps

9 x^{2} - 4 y^{2} - 36 x - 8 y - 4 = 0

Rewrite

9 x^{2} - 4 y^{2} - 36 x - 8 y - 4 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

36 x^{2} - 9 y^{2} = 324

\frac{1}{4} (x - 2)^{2} - \frac{1}{16} (y + 7)^{2} = 1

10 x^{(2)} - 25 y^{(2)} = 100

5 x^{2} - 4 y^{2} + 40 x + 24 y + 24 = 0

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

What is 9x^2-4y^2-36x-8y-4=0 ?
The solution to 9x^2-4y^2-36x-8y-4=0 is Hyperbola with (h,k)=(2,-1),a=2,b=3