Algebramedium · Past Paper
If the roots of x^2 - px + q = 0 differ by 1, then:
Ap^2 = 4q + 1
Bp^2 = 4q - 1
Cq^2 = 4p + 1
Dp^2 = q + 4
✓ Correct Answer: A — p^2 = 4q + 1
(α-β)^2 = 1 → (α+β)^2 - 4αβ = 1 → p^2 - 4q = 1 → p^2 = 4q + 1.
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