What is -16x^2+9y^2-64x+18y=199 ?

The solution to -16x^2+9y^2-64x+18y=199 is Hyperbola with (h,k)=(-2,-1),a=4,b=3

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-16x^2+9y^2-64x+18y=199

- 16 x^{2} + 9 y^{2} - 64 x + 18 y = 199

(h, k) = (- 2, - 1), a = 4, b = 3

Solution steps

- 16 x^{2} + 9 y^{2} - 64 x + 18 y = 199

Rewrite

- 16 x^{2} + 9 y^{2} - 64 x + 18 y = 199

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (- 2, - 1), a = 4, b = 3

6 x^{2} - 3 y^{2} - 6 x - 3 y + 78 = 0

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

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

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

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

What is -16x^2+9y^2-64x+18y=199 ?
The solution to -16x^2+9y^2-64x+18y=199 is Hyperbola with (h,k)=(-2,-1),a=4,b=3