What is 8x^2-2y^2=16 ?

The solution to 8x^2-2y^2=16 is Hyperbola with (h,k)=(0,0),a=sqrt(2),b=2sqrt(2)

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8x^2-2y^2=16

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

(h, k) = (0, 0), a = 2, b = 22

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 2, b = 22

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

x^{2} - 4 y^{2} + 2 x - 35 = 0

x^{(2)} - 2 y^{(2)} = 8

a^{2} - b^{2} = 21

a^{2} - b^{2} = 16

What is 8x^2-2y^2=16 ?
The solution to 8x^2-2y^2=16 is Hyperbola with (h,k)=(0,0),a=sqrt(2),b=2sqrt(2)