If α and β are roots of x^2 - px + q = 0, find α/ β + β... – Algebra

Algebrahard · Past Paper

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

A(p^2 - 2q) / q

B(p^2 + 2q) / q

Cp^2 / q

Dq / (p^2 - 2q)

✓ Correct Answer: A — (p^2 - 2q) / q

α/β + β/α = (α^2 + β^2) / αβ = [(α+β)^2 - 2αβ] / αβ = (p^2 - 2q) / q.

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