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If x = 1/2 (5 -√3i), then find the value of x^4 – x^3 – 12x^2 + 23x + 12.

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If x = 1/2 (5 -√3i), then find the value of x4 – x3 – 12x2 + 23x + 12.

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= w + 1 + 32w + 33w2 + 27

= w + w2 + 32w + 32w2 + 38

= –1 – 32 + 38 = 5 

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