Algebrahard · Past Paper

If α, β are roots of x^2 + px + q = 0, find (α-β)^2.

Ap^2 - 4q
Bp^2 + 4q
Cq^2 - 4p
Dp^2 - 2q

✓ Correct Answer: Ap^2 - 4q

(α-β)^2 = (α+β)^2 - 4αβ = (-p)^2 - 4q = p^2 - 4q.

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