📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

    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
    ask-question