engineering mathematics MCQ #4289

The value of k for which the equation x² + kx + 1 = 0 has real roots is?

engineering mathematics MCQ #4289

  1. Question 1

    Q1. The value of k for which the equation x² + kx + 1 = 0 has real roots is?

    • A) k ≥ 2 or k ≤ -2
    • B) k > 2 or k < -2
    • C) k = 2 or k = -2
    • D) -2 < k < 2

    Answer: k ≥ 2 or k ≤ -2

    Explanation: For real roots, the discriminant b² - 4ac ≥ 0. So, k² - 4*1*1 ≥ 0, hence k ≥ 2 or k ≤ -2.