What is (16x^2)-(9y^2)-32x-54y+79=0 ?

The solution to (16x^2)-(9y^2)-32x-54y+79=0 is Hyperbola with (h,k)=(1,-3),a=4,b=3

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(16x^2)-(9y^2)-32x-54y+79=0

(16 x^{2}) - (9 y^{2}) - 32 x - 54 y + 79 = 0

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

Solution steps

16 x^{2} - 9 y^{2} - 32 x - 54 y + 79 = 0

Rewrite

16 x^{2} - 9 y^{2} - 32 x - 54 y + 79 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

2 x^{2} - 3 x - 2 y^{2} + 6 y = 1

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

y^{2} - z^{2} = 1

\frac{( y - h ) ^{2}}{49} - \frac{( x - k ) ^{2}}{81} = 1

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

What is (16x^2)-(9y^2)-32x-54y+79=0 ?
The solution to (16x^2)-(9y^2)-32x-54y+79=0 is Hyperbola with (h,k)=(1,-3),a=4,b=3