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(6),b=sqrt(3/2)

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

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

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

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

Therefore Hyperbola properties are:

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

9 x^{2} - y^{2} + 6 y - 18 = 0

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

25 x^{2} + 246 x - 25 y^{2} - 13 y = 233

9 x^{2} - 4 y^{2} - 18 x + 16 y - 43 = 0

16 x^{2} - 9 y^{2} - 144 = 0

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(6),b=sqrt(3/2)