4x-2/x^3

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Solution for 4x-2/x^3 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)

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

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

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

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

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

x^-4 = 2

-4 < 0

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

1 = 2*x^4 // : 2

1/2 = x^4

x^4 = 1/2 // ^ 1/4

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

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

2*x = 0

2*x = 0 // : 2

x = 0

x in { 0} 

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

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