If α, β are roots of x² + px + q = 0, then the value of α² + β² is
Q1. If α, β are roots of x² + px + q = 0, then the value of α² + β² is
Answer: p² - 2q
Explanation: Using the sum and product of roots, α² + β² = (α + β)² - 2αβ = (-p)² - 2q = p² - 2q.