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

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

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

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

(h, k) = (0, 0), a = 3, b = \frac{1}{2}

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 3, b = \frac{1}{2}

\frac{y ^{2}}{25} - \frac{x ^{2}}{36} = 1

y^{2} = 4 x^{2} + 25

4 x^{2} - 4 y^{2} - 2 x + 8 y - 4 = 0

4 x^{2} - 4 y^{2} + 100 = 0

3 x^{(2)} - 6 x - 4 y^{(2)} - 9 = 0

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