((x-2)^(2)(x^(2)-1))/((x-1)^(2)(x^(2)-4))

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Solution for ((x-2)^(2)(x^(2)-1))/((x-1)^(2)(x^(2)-4)) equation: 


D( x )

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

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

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

( x-1 )

x-1 = 0 // + 1

x = 1

( x^2-4 )

1*x^2 = 4 // : 1

x^2 = 4

x^2 = 4 // ^ 1/2

abs(x) = 2

x = 2 or x = -2

x in (-oo:-2) U (-2:1) U (1:2) U (2:+oo)

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

( x-2 )

x-2 = 0 // + 2

x = 2

( x^2-1 )

1*x^2 = 1 // : 1

x^2 = 1

x^2 = 1 // ^ 1/2

abs(x) = 1

x = 1 or x = -1

x in { 2} 

x in { 1} 

x = -1

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