📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!
  • google app store apple app store
    • ✖

      Question

      If α, β are the roots of the equation x² – px + q =

      0, then the value of α2+β2+2αβ is 
      A p² Correct Answer Incorrect Answer
      B q² Correct Answer Incorrect Answer
      C 1/p² Correct Answer Incorrect Answer
      D 2p² Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      α, β are the roots of the equation x² – px + q = 0 On comparing the given equation to ax² – bx + c = 0 Here a = 1, b = -p and c = q Therefore, sum of the roots = α + β = -(-p/1) = p Product of the roots = αβ = c/a = q/1 = q now, α2+ β2 + 2αβ = (α + β)2 = p2

      Practice Next
      More Quadratic equation Questions

      Relevant for Exams:

      ask-question