engineering mathematics MCQ #4306

For what value of k, the equation x² + 2(k-1)x + k + 5 = 0 has real and equal roots?

engineering mathematics MCQ #4306

  1. Question 1

    Q1. For what value of k, the equation x² + 2(k-1)x + k + 5 = 0 has real and equal roots?

    • A) -1 or 4
    • B) 1 or -4
    • C) 2 or -3
    • D) -2 or 3

    Answer: 1 or -4

    Explanation: For equal roots, D = 0. So, 4(k-1)² - 4(k+5) = 0, simplifying to k² - 3k - 4 = 0, giving k = 1 or -4.