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

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

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

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

x^{2} = 10 y

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

\frac{x ^{2}}{9} - \frac{y ^{2}}{25} = 1

\frac{x ^{2}}{16} + \frac{y ^{2}}{4} = 1

x^{2} + 2 y - 6 = 0

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