What is (y^2)/6-(x^2)/3 =1 ?

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

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(y^2)/6-(x^2)/3 =1

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

(h, k) = (0, 0), a = 6, b = 3

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 6, b = 3

y^{2} - 2 x^{2} - 4 x - 4 y = 8

x^{2} - y^{2} + 8 x + 24 y = 0

\frac{( x - 9 ) ^{2}}{16} - \frac{( y - 11 ) ^{2}}{9} = 1

- 9 x^{2} + z^{2} = 36

x^{2} - y^{2} = 19

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