Algebrahard · Past Paper

If α, β are roots of x^2 + x + 1 = 0, find α^2 + β^2.

A1
B-1
C0
D-2

✓ Correct Answer: B-1

α+β = -1, αβ = 1. α^2+β^2 = (-1)^2 - 2(1) = 1 - 2 = -1.

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