Question

    In the following questions, two equations numbered I and II are given. You have to solve both the equations and give answer:

    I. x2 - 17x + 70 = 0

    II. y2 - 11y + 28 = 0

    A If x > y Correct Answer Incorrect Answer
    B If x ≥ y Correct Answer Incorrect Answer
    C If x < y Correct Answer Incorrect Answer
    D If x ≤ y Correct Answer Incorrect Answer
    E If x = y or the relationship cannot be established. Correct Answer Incorrect Answer

    Solution

    I. x2 - 17x + 70 = 0 => x2 - 7x – 10x + 70 = 0 => x(x – 7) – 10(x – 7) = 0 => (x – 7) (x – 10) = 0 => x = 7, 10 II. y2 - 11y + 28 = 0 => y2 - 7y – 4y + 28 = 0 => y(y – 7) – 4(y – 7) = 0 => (y – 7) (y – 4) => y = 7, 4 Hence, x ≥ y.

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