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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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