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If α and β are the roots of equation x2 – x + 1 = 0, then which equation will have roots α3 and β3?

x2 + 2x + 1 = 0
x2 – 2x – 1 = 0
x2 + 3x – 1 = 0
x2 – 3x + 1 = 0

Correct Answer: x2 + 2x + 1 = 0

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