(x^2-2x-9)/(x-1)^2

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Solution for (x^2-2x-9)/(x-1)^2 equation: 


D( x )

(x-1)^2 = 0

(x-1)^2 = 0

(x-1)^2 = 0

x-1 = 0 // + 1

x = 1

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

(x^2-(2*x)-9)/((x-1)^2) = 0

(x^2-2*x-9)/((x-1)^2) = 0

x^2-2*x-9 = 0

x^2-2*x-9 = 0

DELTA = (-2)^2-(-9*1*4)

DELTA = 40

DELTA > 0

x = (40^(1/2)+2)/(1*2) or x = (2-40^(1/2))/(1*2)

x = (2*10^(1/2)+2)/2 or x = (2-2*10^(1/2))/2

(x-((2-2*10^(1/2))/2))*(x-((2*10^(1/2)+2)/2)) = 0

((x-((2-2*10^(1/2))/2))*(x-((2*10^(1/2)+2)/2)))/((x-1)^2) = 0

( x-((2*10^(1/2)+2)/2) )

x-((2*10^(1/2)+2)/2) = 0 // + (2*10^(1/2)+2)/2

x = (2*10^(1/2)+2)/2

( x-((2-2*10^(1/2))/2) )

x-((2-2*10^(1/2))/2) = 0 // + (2-2*10^(1/2))/2

x = (2-2*10^(1/2))/2

x in { (2*10^(1/2)+2)/2, (2-2*10^(1/2))/2 }

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