What is 6y^2-3x^2=6 ?

The solution to 6y^2-3x^2=6 is Hyperbola with (h,k)=(0,0),a=1,b=sqrt(2)

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6y^2-3x^2=6

6 y^{2} - 3 x^{2} = 6

(h, k) = (0, 0), a = 1, b = 2

Solution steps

6 y^{2} - 3 x^{2} = 6

Rewrite

6 y^{2} - 3 x^{2} = 6

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 1, b = 2

9 y^{2} - 16 x^{2} - 64 x - 54 y - 127 = 0

y^{2} = x^{2} + 2 x - 15

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

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

6 (x + \frac{1}{3})^{2} - 6 (y - \frac{1}{2})^{2} + 24 = 0

What is 6y^2-3x^2=6 ?
The solution to 6y^2-3x^2=6 is Hyperbola with (h,k)=(0,0),a=1,b=sqrt(2)