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

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

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

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

(h, k) = (1, 0), a = 1, b = \frac{1}{3}

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (1, 0), a = 1, b = \frac{1}{3}

\frac{( x + 5 ) ^{2}}{9} - \frac{( y - 3 ) ^{2}}{16} = 1

6 x^{2} - 9 y^{2} + 96 x + 36 y + 252 = 0

x^{2} = y^{2} + 3

\frac{( y + 4 ) ^{2}}{16} - \frac{( x - 3 ) ^{2}}{25} = 1

36 x^{2} - 64 y^{2} = 2304

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