Solve: z² + z + 1 = 0:
Az = ±i
Bz = ±1
Cz = (-1 ± i√3)/2 (complex cube roots of unity other than 1)
DNo solution
Answer & Solution
Correct answer: C. z = (-1 ± i√3)/2 (complex cube roots of unity other than 1)
z = (-1 ± √(1 - 4))/2 = (-1 ± √(-3))/2 = (-1 ± i√3)/2. These are ω and ω² (complex cube roots of unity).
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