If the roots of x² + 2x + 3 = 0 are α, β, then α² + β² =
Question 1
Q1. If the roots of x² + 2x + 3 = 0 are α, β, then α² + β² =
Answer: -2
Explanation: α + β = -2, αβ = 3, so α² + β² = (α + β)² - 2αβ = (-2)² - 2*3 = 4 - 6 = -2.