# Complex Roots

Algebra Level 4

If $$\alpha ,\beta ,\gamma ,\delta$$ are the roots of the equation $${ x }^{ 4 }+{ x }^{ 3 }+{ x }^{ 2 }+{ x }+1=0$$, find the value of $$(1-\alpha )(1-\beta )(1-\gamma )(1-\delta )$$.

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