X^3-2x^2+x-1/x-1

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Solution for X^3-2x^2+x-1/x-1 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

x^1

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

{ 1, -1 }

1

x = 1

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

1

-1

x = -1

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

-1

{ 1/2, -1/2, -1/2, 1/2 }

1/2

x

1/2

x^2-2*x^3-x-1 = -1.5

1/2

-1/2

x

-1/2

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

-1/2

x+1/2

2*x-2*x^2-2

x^2-2*x^3-x-1

x+1/2

2*x^3+x^2

2*x^2-x-1

-2*x^2-x

-2*x-1

2*x+1

0

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

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

DELTA = -12

DELTA < 0

x in { -1/2} 

x = -1/2

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