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

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Solution for x^2-2x+2/x-1=0 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

x^1

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

{ 1, -1, 2, -2 }

1

x = 1

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

1

x-1

x^2-x-2

x^3-2*x^2-x+2

x-1

x^2-x^3

2-x^2-x

x^2-x

2-2*x

2*x-2

0

x^2-x-2 = 0

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

DELTA = 9

DELTA > 0

x = (9^(1/2)+1)/(1*2) or x = (1-9^(1/2))/(1*2)

x = 2 or x = -1

x in { -1, 2, 1} 

x in { -1, 2, 1 }

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