What is 9x^2-4y^2+36x-16y-16=0 ?

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

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9x^2-4y^2+36x-16y-16=0

9 x^{2} - 4 y^{2} + 36 x - 16 y - 16 = 0

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

Solution steps

9 x^{2} - 4 y^{2} + 36 x - 16 y - 16 = 0

Rewrite

9 x^{2} - 4 y^{2} + 36 x - 16 y - 16 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

y^{2} = - 0.8944 + 1.125 x^{2}

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

(5 x - 4)^{2} = (8 y + 2) \cdot y

4 x^{2} - 8 y^{2} \leq 12

\frac{( x - 3 ) ^{2}}{25} - \frac{( y + 2 ) ^{2}}{9} = 1

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