What is 9x^2-4y^2-36>0 ?

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

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9x^2-4y^2-36>0

9 x^{2} - 4 y^{2} - 36 > 0

(h, k) = (0, 0), a = 2, b = 3

Solution steps

9 x^{2} - 4 y^{2} - 36 > 0

Rewrite

9 x^{2} - 4 y^{2} - 36 > 0

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{2 ^{2}} - \frac{( y - 0 ) ^{2}}{3 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 2, b = 3

16 x^{2} - 9 y^{2} - 256 y + 180 x - 452 = 0

\frac{( x - 2 ) ^{2}}{4} - \frac{( y + 1 ) ^{2}}{25} = 1

11 x^{2} - 25 y^{2} + 22 x + 250 y - 889 = 0

x^{2} + 2 x - 100 y^{2} - 1000 y + 2401 = 0

9 x^{2} - 16 y^{2} + 72 x + 96 y + 144 = 0

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