What is 9x^2-16y^2-18x-64y-199=0 ?

The solution to 9x^2-16y^2-18x-64y-199=0 is Hyperbola with (h,k)=(1,-2),a=4,b=3

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9x^2-16y^2-18x-64y-199=0

9 x^{2} - 16 y^{2} - 18 x - 64 y - 199 = 0

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

Solution steps

9 x^{2} - 16 y^{2} - 18 x - 64 y - 199 = 0

Rewrite

9 x^{2} - 16 y^{2} - 18 x - 64 y - 199 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

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

9 y^{2} - x^{2} + 2 x + 54 y + 62 = 0

\frac{( x - 5 ) ^{2}}{4} - \frac{( y + 5 ) ^{2}}{9} = 1

x^{2} - y^{2} + 7 x + 8 y = 5

x^{2} - (y - 3)^{2} = 16

What is 9x^2-16y^2-18x-64y-199=0 ?
The solution to 9x^2-16y^2-18x-64y-199=0 is Hyperbola with (h,k)=(1,-2),a=4,b=3