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Question

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

I. 63x2+ 148x + 77 = 0

II. 21y2+ 89y + 88 = 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. 63x2+ 148x + 77 = 0 63x2+ 49x + 99x + 77 = 0 7x(9x + 7) + 11(9x + 7) = 0 (7x + 11)(9x + 7)= 0 x = -11/7, -7/9 II. 21y2+ 89y + 88 = 0 21y2+ 56y + 33y + 88 = 0 7y( 3y + 8) + 11(3y + 8) = 0 (7y + 11) (3y + 8) = 0 y = -11/7 , - 8/3 So x ≥ y

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