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

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

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

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

x^{2} - y^{2} - 16 = 0

\frac{( y - 7.5 ) ^{2}}{0.25} - \frac{( x - 1 ) ^{2}}{0.25} = 1

y^{2} - 4 x^{2} - 12 y - 16 x + 16 = 0

26 x^{2} - 17 y^{2} = 284

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

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