engineering mathematics MCQ #4290

If α and β are the roots of x² - x - 1 = 0, then α/β + β/α = ?

engineering mathematics MCQ #4290

  1. Question 1

    Q1. If α and β are the roots of x² - x - 1 = 0, then α/β + β/α = ?

    • A) 3
    • B) -3
    • C) 1
    • D) -1

    Answer: -3

    Explanation: Using sum and product of roots: α+β=1 and αβ=-1. Then α/β+β/α = (α²+β²)/αβ = ((α+β)²-2αβ)/αβ = (1+2)/(-1) = -3.