What is 2x^2-8y^2-12=0 ?

The solution to 2x^2-8y^2-12=0 is Hyperbola with (h,k)=(0,0),a=sqrt(6),b=sqrt(3/2)

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2x^2-8y^2-12=0

2 x^{2} - 8 y^{2} - 12 = 0

(h, k) = (0, 0), a = 6, b = \frac{3}{2}

Solution steps

2 x^{2} - 8 y^{2} - 12 = 0

Rewrite

2 x^{2} - 8 y^{2} - 12 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 6, b = \frac{3}{2}

3 x^{2} - 2 y^{2} = 1

10 x^{2} - 25 y^{2} = 100

\frac{x ^{2}}{49} - \frac{y ^{2}}{64} = 1

x^{2} - 9 (y + 1)^{2} = 9

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

What is 2x^2-8y^2-12=0 ?
The solution to 2x^2-8y^2-12=0 is Hyperbola with (h,k)=(0,0),a=sqrt(6),b=sqrt(3/2)