0=x+1/x

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Solution for 0=x+1/x equation: 


D( x )

x = 0

x = 0

x = 0

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

0 = x+1/x // - x+1/x

0-x-(1/x) = 0

-x-x^-1 = 0

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

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

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

x^1

-x^2-1 = 0

-x^2-1 = 0

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

DELTA = -4

DELTA < 0

x in { } 

x belongs to the empty set

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