x-1/x^3+2x

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Solution for x-1/x^3+2x 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)

x+2*x-(1/(x^3)) = 0

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

3*x-x^-3 = 0

x*(3-x^-4) = 0

-1*x^-4 = -3 // : -1

x^-4 = 3

-4 < 0

1/(x^4) = 3 // * x^4

1 = 3*x^4 // : 3

1/3 = x^4

x^4 = 1/3 // ^ 1/4

abs(x) = (1/3)^(1/4)

x = (1/3)^(1/4) or x = -(1/3)^(1/4)

x = 0

x = 0

x in { 0} 

x in { (1/3)^(1/4), -(1/3)^(1/4) }

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