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

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

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

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

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

Solution steps

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

Rewrite

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

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

5 x^{2} - 3 y^{2} + 35 x + 24 y + 25 = 0

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

\frac{y ^{2}}{9} - \frac{x ^{2}}{7} = 1

4 x^{(2)} - 4 y^{(2)} - 4 x + 8 y - 19 = 0

- \frac{y ^{2}}{4} + \frac{z ^{2}}{9} = 1

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