Mathematics 10 — Exercise 2.3 · Q9 (ii)

Full question

For roots α,β of x² + px + q = 0, find the condition for α = 1/β.

Step-by-step solution

1. Reciprocal roots have product αβ = 1, while this monic equation has product q.

2. Rearrange the condition.

   $$q=1$$

Answer

The final answer is shown below.