šŸ“¢ Too many exams? Donā€™t know which one suits you best? Book Your Free Expert šŸ‘‰ call Now!

    āš” Month End Offer - Flat 52% Off On All Courses! Enroll Now āš”
    00:00:00 AM Left

    Question

    I. 10x2 + 33x + 9 = 0 II.

    2y2 + 13y + 21 = 0 In the following question two equations are given in variables x and y. You have to solve these equations and determine the relation between x and y.
    A If x > y Correct Answer Incorrect Answer
    B If x < y Correct Answer Incorrect Answer
    C If x ā‰„ y Correct Answer Incorrect Answer
    D If x ā‰¤ y Correct Answer Incorrect Answer
    E x = y or relationship between x and y can't be established Correct Answer Incorrect Answer

    Solution

    I. 10x2 + 33x + 9 = 0 => 10x2 + 30x + 3x + 9 = 0 =>10x(x + 3) + 3(x + 3) = 0 => (x + 3) (10x + 3) = 0 => x = -3, -3/10 II. 2y2 + 13y + 21 = 0 =>2y2 + 7y + 6y + 21 = 0 => y(2y + 7) + 3(2y + 7) = 0 => (2y + 7) (y + 3) = 0 => y = -7/2, -3 Hence, x ā‰„ y. Alternate Method: if signs of quadratic equation is +ve and +ve respectively then the roots of equation will be -ve and -ve. So, roots of first equation = x = -3, -3/10 So, roots of second equation = y = -7/2, -3 After comparing we can conclude that x ā‰„ y.

    Practice Next
    More Quadratic equation Questions

    Relevant for Exams:

    ask-question