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

Algebrahard · Past Paper

If α, β are roots of x^2 - px + q = 0, find equation with roots 1/α, 1/β.

Aqx^2 - px + 1 = 0

Bpx^2 - qx + 1 = 0

Cqx^2 + px + 1 = 0

Dx^2 - qx + p = 0

✓ Correct Answer: A — qx^2 - px + 1 = 0

Replace x with 1/x: (1/x)^2 - p(1/x) + q = 0 → 1 - px + qx^2 = 0.

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