# Roots of Complex Numbers

Algebra Level 4

If $$\alpha ,{ \alpha }^{ 2 },{ \alpha }^{ 3 }$$ and $${ \alpha }^{ 4 }$$ are the non-real roots of $${ x }^{ 5 }-1=0$$, find the value of $$(1-{ \alpha })(1-{ \alpha }^{ 2 })(1-{ \alpha }^{ 3 })(1-{ \alpha }^{ 4 })$$.

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