engineering mathematics MCQ #3709

The partial fraction decomposition of x / (x² - 4) is

engineering mathematics MCQ #3709

  1. Question 1

    Q1. The partial fraction decomposition of x / (x² - 4) is

    • A) 1 / 4(x - 2) + 1 / 4(x + 2)
    • B) 1 / 4(x - 2) - 1 / 4(x + 2)
    • C) x / (x - 2)(x + 2)
    • D) 1 / (x - 2) - 1 / (x + 2)

    Answer: 1 / 4(x - 2) - 1 / 4(x + 2)

    Explanation: Decomposing into partial fractions: x / (x² - 4) = A / (x - 2) + B / (x + 2), then A = 1/4, B = -1/4.