What is 16x^2-9y^2-64x-54y-161=0 ?

The solution to 16x^2-9y^2-64x-54y-161=0 is Hyperbola with (h,k)=(2,-3),a=3,b=4

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16x^2-9y^2-64x-54y-161=0

16 x^{2} - 9 y^{2} - 64 x - 54 y - 161 = 0

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

Solution steps

16 x^{2} - 9 y^{2} - 64 x - 54 y - 161 = 0

Rewrite

16 x^{2} - 9 y^{2} - 64 x - 54 y - 161 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

25 x^{2} - 4 y^{2} - 100 = 0

y^{2} = x^{2} + 529

x^{2} + 79 = y^{2} + 18 x - 2 y

4 x^{2} - 4 y^{2} + 20 x - 16 y + 25 = 0

\frac{( x ^{(2)} )}{( 25 )} - \frac{( y ^{(2)} )}{( 11 )} = 1

What is 16x^2-9y^2-64x-54y-161=0 ?
The solution to 16x^2-9y^2-64x-54y-161=0 is Hyperbola with (h,k)=(2,-3),a=3,b=4