What is 9x^2-16y^2-36x-32y-124=0 ?

The solution to 9x^2-16y^2-36x-32y-124=0 is Hyperbola with (h,k)=(2,-1),a=4,b=3

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9x^2-16y^2-36x-32y-124=0

9 x^{2} - 16 y^{2} - 36 x - 32 y - 124 = 0

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

Solution steps

9 x^{2} - 16 y^{2} - 36 x - 32 y - 124 = 0

Rewrite

9 x^{2} - 16 y^{2} - 36 x - 32 y - 124 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

5 x^{2} - 4 y^{2} + 80 = 0

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

16 y^{2} - x^{2} + 2 x + 64 y - 1 = 0

\frac{x ^{2}}{16 + ( y - 4 ) ^{2}} = 1

- \frac{x ^{2}}{16} + \frac{y ^{2}}{36} = 1

What is 9x^2-16y^2-36x-32y-124=0 ?
The solution to 9x^2-16y^2-36x-32y-124=0 is Hyperbola with (h,k)=(2,-1),a=4,b=3