(x-1/x)^12

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Solution for (x-1/x)^12 equation: 


D( x )

x = 0

x = 0

x = 0

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

(x-(1/x))^12 = 0

(x-x^-1)^12 = 0

x-x^-1 = 0

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

1*x^2 = 1 // : 1

x^2 = 1

x^2 = 1 // ^ 1/2

abs(x) = 1

x = 1 or x = -1

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

(x^-1)^12*(x-1)^12*(x+1)^12 = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x-1 )

x-1 = 0 // + 1

x = 1

( x^-1 )

1*x^-1 = 0 // : 1

x^-1 = 0

x należy do O

x in { -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }

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