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Question

I. 8x² - 74x + 165 = 0

II. 15y² - 38y + 24 = 0

A if x>y Correct Answer Incorrect Answer
B if x≥y Correct Answer Incorrect Answer
C if x 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. 8x² - 74x + 165 = 0 8x² - 30x - 44 x + 165 = 0 2 x (4 x – 15) – 11 (4 x – 15) = 0 (2 x – 11) (4 x – 15) = 0 x = 11/2, 15/4 II. 15y² - 38y + 24 = 0 15y² - 18y - 20 y + 24 = 0 3 y(5 y – 6) – 4(5 y – 6) = 0 (3 y – 4) (5 y – 6) = 0 y = 4/3, 6/5 Hence, x>y

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