What is 9x^2-4y^2+18x-16y-43=0 ?

The solution to 9x^2-4y^2+18x-16y-43=0 is Hyperbola with (h,k)=(-1,-2),a=2,b=3

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9x^2-4y^2+18x-16y-43=0

9 x^{2} - 4 y^{2} + 18 x - 16 y - 43 = 0

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

Solution steps

9 x^{2} - 4 y^{2} + 18 x - 16 y - 43 = 0

Rewrite

9 x^{2} - 4 y^{2} + 18 x - 16 y - 43 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

8 x^{2} - 5 y^{2} + 96 x + 40 y + 168 = 0

\frac{x ^{2}}{121} - \frac{y ^{2}}{9} = 1

5 x^{2} - y^{2} = 20

(y - 3)^{2} - 9 (x - 3)^{2} = 9

x^{2} - y^{2} + 6 x = 19

What is 9x^2-4y^2+18x-16y-43=0 ?
The solution to 9x^2-4y^2+18x-16y-43=0 is Hyperbola with (h,k)=(-1,-2),a=2,b=3