Algebra

Roots of Unity

Solving for Roots of Unity

         

What is the complex solution set of the equation z41=0z^4-1=0?

Which of these is a solution to the equation z6=12z^6=12?

Let UnU_n denote the set of all nthn^\text{th} roots of unity.

If Ua={yzyU3, zU5}U_a=\{yz\mid y\in U_3,\ z\in U_5\}, then a= ?a=\ ?

Which of these is a solution to the following equation?

x5+x4+x3+x2+x+1=0x^5+x^4+x^3+x^2+x+1=0

If a+bia+bi is an nthn^\text{th} root of unity, then which of these is not necessarily an nthn^\text{th} root of unity?

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