# For Those Who Do Not Know Omega

**Algebra**Level 2

\[\large { z }^{ 3 }=1\]

What is the set of all \(z\) that satisfy the equation above?

Note: \(\omega = \frac{ -1 + \sqrt 3 i}{2} \) where \(i =\sqrt{-1} \).

\[\large { z }^{ 3 }=1\]

What is the set of all \(z\) that satisfy the equation above?

Note: \(\omega = \frac{ -1 + \sqrt 3 i}{2} \) where \(i =\sqrt{-1} \).

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