2x-(2/x^3)

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Solution for 2x-(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)

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

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

2*x^1-2*x^-3 = 0

(2*x^4-2*x^0)/(x^3) = 0 // * x^6

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

x^3

2*x^4-2 = 0

{ 1, -1, 2, -2 }

1

x = 1

2*x^4-2 = 0

1

x-1

2*x^3+2*x^2+2*x+2

2*x^4-2

x-1

2*x^3-2*x^4

2*x^3-2

2*x^2-2*x^3

2*x^2-2

2*x-2*x^2

2*x-2

2-2*x

0

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

{ 1, -1, 2, -2 }

1

x = 1

2*x^3+2*x^2+2*x+2 = 8

1

-1

x = -1

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

-1

x+1

2*x^2+2

2*x^3+2*x^2+2*x+2

x+1

-2*x^3-2*x^2

2*x+2

-2*x-2

0

2*x^2+2 = 0

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

DELTA = -16

DELTA < 0

x in { 1, -1} 

x in { 1, -1 }

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