Question

I. 35x² - 51x + 18 = 0

II. 30y² + 17y – 21 = 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. 35x² - 51x + 18 = 0 35x² - 21x - 30x + 18 = 0 7x(5x – 3) - 6(5x - 3) = 0 (7x – 6) (5x – 3) = 0 x = 6/7, 3/5 II. 30y² +17y – 21 = 0 30y² + 35y - 18y – 21 = 0 5y (6y + 7) – 3 (6y + 7) = 0 (5y – 3) (6y + 7) = 0 y = 3/5, -7/6 Hence, x ≥ y

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