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Question

I. 2x2– 5x – 63 = 0

II. 2y2– 7y – 72 = 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. 2x2 – 5x – 63 = 0 2x2 + 9x – 14x – 63 = 0 x (2 x + 9) – 7 (2 x + 9) = 0 (x – 7) (2 x + 9) = 0 x = 7, -9/2 II. 2y2 – 7y – 72 = 0 2y2 – 16 y + 9y – 72 = 0 2 y(y – 8) + 9 (y – 8) = 0 (2 y + 9) (y – 8) = 0 y = 8, -9/2 Hence, relationship cannot be established between x and y

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