What is x^2-6=(y^2)/3 ?

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

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x^2-6=(y^2)/3

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

(h, k) = (0, 0), a = 6, b = 32

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 6, b = 32

12 (y - 5)^{2} - 30 (x + 2)^{2} = 360

3 x^{2} - y^{2} + 30 x + 78 = 0

9 x^{2} - y^{2} - 72 x + 8 y + 119 = 0

9 x^{2} - 4 y^{2} + 18 x - 27 = 0

4 x^{2} - y^{2} = 64

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