y=2-8/x^2

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Solution for y=2-8/x^2 equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:+oo)

y = 2-(8/(x^2)) // - 2-(8/(x^2))

8/(x^2)+y-2 = 0

8*x^-2 = -(y-2) // : 8

x^-2 = (2-y)/8

-2 < 0

1/(x^2) = (2-y)/8 // * x^2

1 = x^2*((2-y)/8) // : (2-y)/8

8*(2-y)^-1 = x^2

x^2 = 8*(2-y)^-1 // ^ 1/2

abs(x) = 2*2^(1/2)*(2-y)^(-1/2)

x = 2*2^(1/2)*(2-y)^(-1/2) or x = -(2*2^(1/2)*(2-y)^(-1/2))

x in { 2*2^(1/2)*(2-y)^(-1/2), -(2*2^(1/2)*(2-y)^(-1/2)) }

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