What is 9x^2-16y^2-90x-96y-63=0 ?

The solution to 9x^2-16y^2-90x-96y-63=0 is Hyperbola with (h,k)=(5,-3),a=4,b=3

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9x^2-16y^2-90x-96y-63=0

9 x^{2} - 16 y^{2} - 90 x - 96 y - 63 = 0

(h, k) = (5, - 3), a = 4, b = 3

Solution steps

9 x^{2} - 16 y^{2} - 90 x - 96 y - 63 = 0

Rewrite

9 x^{2} - 16 y^{2} - 90 x - 96 y - 63 = 0

in the form of a standard hyperbola equation

\frac{( x - 5 ) ^{2}}{4 ^{2}} - \frac{( y - ( - 3 ) ) ^{2}}{3 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (5, - 3), a = 4, b = 3

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

x^{2} - 9 (y + 1)^{2} - 9 = x + 2 y + 5

- 16 x^{2} + 25 y^{2} - 32 x + 100 y = 316

y^{2} - z^{2} = 4

A^{2} - B^{2} = 280

What is 9x^2-16y^2-90x-96y-63=0 ?
The solution to 9x^2-16y^2-90x-96y-63=0 is Hyperbola with (h,k)=(5,-3),a=4,b=3