If the roots of the quadratic equation x2 – x + 1 = 0 are α and β, then find the quadratic equation whose roots are α4 and β4.

1
x2 + x + 1 = 0
2
x2 – x + 1 = 0
3
x2 – x – 1 = 0
4
x2 – x + 2 = 0

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