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

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

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2x^2-2y^2=12

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

\frac{x ^{2}}{9} - \frac{y ^{2}}{14} = 1

\frac{( y + 7 ) ^{2}}{9} - \frac{( x - 5 ) ^{2}}{16} = 1

\frac{x ^{2}}{16} - \frac{y ^{2}}{12} = 1

3 x^{2} - 2 y^{2} - 12 x + 12 y + 29 = 0

9 x^{2} - 4 y^{2} + 36 x + 8 y + 33 = 0

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