If α, β are roots of the equation x² + x + 1 = 0, then α² + β² =
Question 1
Q1. If α, β are roots of the equation x² + x + 1 = 0, then α² + β² =
Answer: -1
Explanation: α + β = -1, αβ = 1, so α² + β² = (α + β)² - 2αβ = (-1)² - 2*1 = -1.