Josh's roots

Algebra Level 2

The polynomial x33x2+12x+16 x^3 - 3x^2 + 12x + 16 has one real root r r and two complex roots w w and z. z. What is the value of r+log2(w6+z6) r+ \log_2 \left(w^6 + z^6 \right) ?

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