x=1/x

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Solution for x=1/x equation: 


D( x )

x = 0

x = 0

x = 0

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

x = 1/x // - 1/x

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 = (4^(1/2)+0)/(1*2) or x = (0-4^(1/2))/(1*2)

x = 1 or x = -1

x in { -1, 1} 

x in { -1, 1 }

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