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

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

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6x^2-3y^2=3

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

(h, k) = (0, 0), a = \frac{1}{2}, b = 1

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{1}{2}, b = 1

\frac{( y + 4 ) ^{2}}{64} - \frac{( x + 3 ) ^{2}}{25} = 1

\frac{( 4 x ^{2} - 4 y ^{2} - 4 )}{( x ^{2} + y ^{2} + 1 ) ^{2}} = 0

f (x) (f (x)) = 2 x^{2} - 3 x + 2

\frac{y ^{2}}{21} - \frac{x ^{2}}{13} = 1

8 x^{2} - 15 = 4 y^{2} + 1

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