2x-(2/x^2)

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Solution for 2x-(2/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)

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

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

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

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

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

x^2

2*x^3-2 = 0

{ 1, -1, 2, -2 }

1

x = 1

2*x^3-2 = 0

1

x-1

2*x^2+2*x+2

2*x^3-2

x-1

2*x^2-2*x^3

2*x^2-2

2*x-2*x^2

2*x-2

2-2*x

0

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

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

DELTA = -12

DELTA < 0

x in { 1} 

x = 1

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