(x^3-3x^2+2)/(x-1)

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


D( x )

x-1 = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:+oo)

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

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

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

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

{ 1, -1, 2, -2 }

1

x = 1

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

1

x-1

x^2-2*x-2

x^3-3*x^2+2

x-1

x^2-x^3

2-2*x^2

2*x^2-2*x

2-2*x

2*x-2

0

x^2-2*x-2 = 0

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

DELTA = 12

DELTA > 0

x = (12^(1/2)+2)/(1*2) or x = (2-12^(1/2))/(1*2)

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

x in { (2-2*3^(1/2))/2, (2*3^(1/2)+2)/2, 1} 

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

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

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

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

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

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

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

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

x in { (2*3^(1/2)+2)/2, (2-2*3^(1/2))/2 }

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