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Write down all elements of the set {XER: X3 -x = 0).

User VijayP
by
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1 Answer

4 votes

Answer:

{-1,0,1}

Explanation:

We are given that a set

Suppose A={
x\in R:x^3-x=0}

We have to find the all elements of given set

First we solve the given equation


x^3-x=0


x(x^2-1)=0


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

Using the identity:
x^2-y^2=(x+y)(x-y)

Substitute each factor equal to zero to find the value of x


x=0,x-1=0\implies x=1,x+1=0\implies x=-1

Hence, the elements in the given set={-1,0,1}

User Arnab Gupta
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