What is 3x^2-3y^2-6x=0 ?

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

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3x^2-3y^2-6x=0

3 x^{2} - 3 y^{2} - 6 x = 0

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

Solution steps

3 x^{2} - 3 y^{2} - 6 x = 0

Rewrite

3 x^{2} - 3 y^{2} - 6 x = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

4 x^{2} - 4 y^{2} = 2 y

\frac{y ^{2}}{5} - \frac{x ^{2}}{4} = 1

\frac{y ^{2}}{4} - \frac{x ^{2}}{32} = 1

3 x^{2} - 4 y^{2} = 12

- x^{2} + 4 y^{2} = 16

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