If one root is square of other for x^2 + px + q = 0, th... – Algebra

Algebrahard · Past Paper

If one root is square of other for x^2 + px + q = 0, then p^3 - q(3p-1) + q^2 = 0. Is it true?

AAlways true

BTrue if p=0

CNever true

DTrue under specific q

✓ Correct Answer: A — Always true

Using α and α^2, and α+α^2 = -p, α^3 = q. Cubing the sum identity leads to this relation.

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