2x-2/x^3-x

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Solution for 2x-2/x^3-x equation: 


D( x )

x^3 = 0

x^3 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

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

2*x-x-(2/(x^3)) = 0

2*x-x-2*x^-3 = 0

x-2*x^-3 = 0

x*(1-2*x^-4) = 0

-2*x^-4 = -1 // : -2

x^-4 = 1/2

-4 < 0

1/(x^4) = 1/2 // * x^4

1 = 1/2*x^4 // : 1/2

2 = x^4

x^4 = 2 // ^ 1/4

abs(x) = 2^(1/4)

x = 2^(1/4) or x = -2^(1/4)

x = 0

x = 0

x in { 0} 

x in { 2^(1/4), -2^(1/4) }

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