If α, β are the roots of the equation x² + x + 1 = 0, then 1/α + 1/β = ?
Q1. If α, β are the roots of the equation x² + x + 1 = 0, then 1/α + 1/β = ?
Answer: -1
Explanation: Using the sum and product of roots, α + β = -1 and αβ = 1. Then, 1/α + 1/β = (α + β) / αβ = -1 / 1 = -1.