x^2-1/x

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Solution for x^2-1/x equation: 


D( x )

x = 0

x = 0

x = 0

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

x^2-(1/x) = 0

x^2-x^-1 = 0

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

(1*x^3-1*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^3-1*x^0) = 0

x^1

x^3-1 = 0

{ 1, -1 }

1

x = 1

x^3-1 = 0

1

x-1

x^2+x+1

x^3-1

x-1

x^2-x^3

x^2-1

x-x^2

x-1

1-x

0

x^2+x+1 = 0

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

DELTA = -3

DELTA < 0

x in { 1} 

x = 1

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