What is (y^2)/4-(x^2)/6 =1 ?

The solution to (y^2)/4-(x^2)/6 =1 is Hyperbola with (h,k)=(0,0),a=2,b=sqrt(6)

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(y^2)/4-(x^2)/6 =1

\frac{y ^{2}}{4} - \frac{x ^{2}}{6} = 1

(h, k) = (0, 0), a = 2, b = 6

Solution steps

\frac{y ^{2}}{4} - \frac{x ^{2}}{6} = 1

Rewrite

\frac{y ^{2}}{4} - \frac{x ^{2}}{6} = 1

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 2, b = 6

- 4 x^{2} + y^{2} + 10 y - 11 = 0

\frac{- x ^{2}}{16} + \frac{y ^{2}}{36} = 1

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

25 x^{2} + 56476 x - 25 y^{2} - 3 y = 48838

x^{2} - y^{2} < 72

What is (y^2)/4-(x^2)/6 =1 ?
The solution to (y^2)/4-(x^2)/6 =1 is Hyperbola with (h,k)=(0,0),a=2,b=sqrt(6)