What is 16x^2-9y^2-96x-18y-9=0 ?

The solution to 16x^2-9y^2-96x-18y-9=0 is Hyperbola with (h,k)=(3,-1),a=3,b=4

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16x^2-9y^2-96x-18y-9=0

16 x^{2} - 9 y^{2} - 96 x - 18 y - 9 = 0

(h, k) = (3, - 1), a = 3, b = 4

Solution steps

16 x^{2} - 9 y^{2} - 96 x - 18 y - 9 = 0

Rewrite

16 x^{2} - 9 y^{2} - 96 x - 18 y - 9 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (3, - 1), a = 3, b = 4

x^{2} - y^{2} - 6 x + 4 y = - 4

x^{(2)} - y^{(2)} - 2 x + 4 y - 6 = 0

\frac{x ^{2}}{16} - \frac{y ^{2}}{49} = 1

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

4 x^{2} - 9 y^{2} - 11 = 0

What is 16x^2-9y^2-96x-18y-9=0 ?
The solution to 16x^2-9y^2-96x-18y-9=0 is Hyperbola with (h,k)=(3,-1),a=3,b=4