ЁЯУв Too many exams? DonтАЩt know which one suits you best? Book Your Free Expert ЁЯСЙ call Now!

    Question

    The equation q2 - 17x + C = 0, has two roots

    тАШxтАЩ and тАШyтАЩ such that (x тАУ y) = 7. Find an equation which is equal to thrice of the given equation.
    A 3q^2 + 51q + 180 Correct Answer Incorrect Answer
    B 3q^2 + 48q + 180 Correct Answer Incorrect Answer
    C 3q^2 + 54q + 180 Correct Answer Incorrect Answer
    D 3q^2 + 60q + 180 Correct Answer Incorrect Answer
    E 3q^2 + 63q + 180 Correct Answer Incorrect Answer

    Solution

    Given, q2 - 17x + C = 0 Since, sum of roots of the equation = 17 Therefore, x + y = 17тАжтАж. (1) And, x тАУ y = 7тАжтАж. (2) On solving equation (1) and (2), we get x = 12 and y = 5 Desired equation = (q - 12)(q - 5) = 0 => q2 + 17q + 60 = 0 So, 3 ├Ч (q2 + 17q + 60) = 0 => 3q2 + 51q + 180 = 0

    Practice Next
    More Quadratic equation Questions

    Relevant for Exams:

    ask-question