engineering mathematics MCQ #4313

If the equation x² + bx + c = 0 has roots α, β, then the equation whose roots are α², β² is

engineering mathematics MCQ #4313

  1. Question 1

    Q1. If the equation x² + bx + c = 0 has roots α, β, then the equation whose roots are α², β² is

    • A) x² - (b²-2c)x + c² = 0
    • B) x² + (b²-2c)x + c² = 0
    • C) x² + (b²+2c)x + c² = 0
    • D) x² - (b²+2c)x + c² = 0

    Answer: x² - (b²-2c)x + c² = 0

    Explanation: Using the sum and product of roots, the new equation is derived as x² - (b²-2c)x + c² = 0.