engineering mathematics MCQ #4279

If α, β are roots of x² + 2x + 3 = 0, then α² + β² = ?

engineering mathematics MCQ #4279

  1. Question 1

    Q1. If α, β are roots of x² + 2x + 3 = 0, then α² + β² = ?

    • A) -2
    • B) 2
    • C) -4
    • D) 4

    Answer: -2

    Explanation: Using the sum and product of roots, α + β = -2 and αβ = 3. Then, α² + β² = (α + β)² - 2αβ = (-2)² - 2*3 = -2.