Algebrahard · Past Paper
If α, β are roots of x^2 - x + 1 = 0, then α^2024 + β^2024 is:
A1
B-1
C2
D0
✓ Correct Answer: B — -1
Roots are -ω, -ω^2 where ω is cube root of unity. Powers cycle every 3 or 6. Results in -1.
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