1/x+1/x^2-x=2/x-1

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Solution for 1/x+1/x^2-x=2/x-1 equation: 


D( x )

x = 0

x^2 = 0

x = 0

x = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

1/x-x+1/(x^2) = 2/x-1 // - 2/x-1

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

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

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

(1*x^2-1*x^3-1*x^1+1*x^0)/(x^2) = 0 // * x^4

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

x^2

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

{ 1, -1 }

1

x = 1

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

1

x-1

-x^2-1

x^2-x^3-x+1

x-1

x^3-x^2

1-x

x-1

0

-x^2-1 = 0

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

DELTA = -4

DELTA < 0

x in { 1} 

x = 1

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