What is 3x^2-2y^2=12 ?

The solution to 3x^2-2y^2=12 is Hyperbola with (h,k)=(0,0),a=2,b=sqrt(6)

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3x^2-2y^2=12

3 x^{2} - 2 y^{2} = 12

(h, k) = (0, 0), a = 2, b = 6

Solution steps

3 x^{2} - 2 y^{2} = 12

Rewrite

3 x^{2} - 2 y^{2} = 12

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{2 ^{2}} - \frac{( y - 0 ) ^{2}}{( 6 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 2, b = 6

\frac{- x ^{2}}{5} + \frac{y ^{2}}{7} = 1

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

(x - 2 y) (x + 2 y) = 4

16 x^{2} - 3 y^{2} - 32 x + 12 y - 44 = 0

\frac{( y + 1 ) ^{2}}{36} - \frac{( x - 4 ) ^{2}}{4} = 1

What is 3x^2-2y^2=12 ?
The solution to 3x^2-2y^2=12 is Hyperbola with (h,k)=(0,0),a=2,b=sqrt(6)