engineering mathematics MCQ #4297

If α, β are roots of the equation x² - 2x + 4 = 0, then α³ + β³ = ?

engineering mathematics MCQ #4297

  1. Question 1

    Q1. If α, β are roots of the equation x² - 2x + 4 = 0, then α³ + β³ = ?

    • A) -8
    • B) 8
    • C) -16
    • D) 16

    Answer: -16

    Explanation: With α+β=2 and αβ=4, use α³+β³ = (α+β)³-3αβ(α+β) = 8-24 = -16.