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Question

I. 2x2 - 9 x + 9 = 0

II. 2y2 - 7 y + 3 = 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 - 9 x + 9 = 0 2x2 - 3 x - 6x + 9 = 0 x (2 x – 3) – 3(2 x – 3) = 0 (x – 3) (2x – 3) = 0 x = 3, 3/2 II. 2y2 - 7 y + 3 = 0 2y2 - y-6y + 3 = 0 y (2 y – 1) – 3 (2 y – 1) = 0 y = 3, 1/2 Hence, relationship cannot be established

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