What is 3x^2-2y^2=36 ?

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

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3x^2-2y^2=36

3 x^{2} - 2 y^{2} = 36

(h, k) = (0, 0), a = 23, b = 32

Solution steps

3 x^{2} - 2 y^{2} = 36

Rewrite

3 x^{2} - 2 y^{2} = 36

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 23, b = 32

y^{2} - 9 x^{2} - 36 x - 45 = 0

x^{2} - y^{2} - 4 x - 12 y + 15 = 0

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

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

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

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