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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. 15y2+ 26y + 8 = 0

II. 20x2+ 7x – 6 = 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. 15y2 + 26y + 8 = 0 15y2 + 6y + 20 y + 8 = 0 3 y (5 y + 2) + 4 (5 y + 2) = 0 (3 y + 4) (5 y + 2) = 0 y = -4/3,-2/5 II. 20x2 + 7x – 6 = 0 20x2 + 15x - 8 x – 6 = 0 5 x(4 x + 3) – 2(4 x + 3) = 0 x = 2/5,-3/4 Hence, no relationship cannot be established between x and y

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