What is 16x^2-96x-y^2-2y+139=0 ?

The solution to 16x^2-96x-y^2-2y+139=0 is Hyperbola with (h,k)=(3,-1),a= 1/2 ,b=2

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16x^2-96x-y^2-2y+139=0

16 x^{2} - 96 x - y^{2} - 2 y + 139 = 0

(h, k) = (3, - 1), a = \frac{1}{2}, b = 2

Solution steps

16 x^{2} - 96 x - y^{2} - 2 y + 139 = 0

Rewrite

16 x^{2} - 96 x - y^{2} - 2 y + 139 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (3, - 1), a = \frac{1}{2}, b = 2

y = x^{2} - y^{2}

y^{2} = x^{2} + 196

4 x^{2} - 25 y^{2} = 100

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

25 x^{2} + 10918 x - 25 y^{2} - 29 y = 2321

What is 16x^2-96x-y^2-2y+139=0 ?
The solution to 16x^2-96x-y^2-2y+139=0 is Hyperbola with (h,k)=(3,-1),a= 1/2 ,b=2