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

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


D( x )

2*(x^2-1) = 0

2*(x^2-1) = 0

2*(x^2-1) = 0

( 2 )

2 = 0

x belongs to the empty set

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

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

1*x^3 = 1 // : 1

x^3 = 1

x^3 = 1 // ^ 1/3

x = 1

x in { 1} 

x belongs to the empty set

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