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Question

I.70x² - 143x + 72 = 0

II. 80 y² - 142y + 63 = 0

A If x < y Correct Answer Incorrect Answer
B If x > y Correct Answer Incorrect Answer
C If x = y or no relationship cannot be established between x and y Correct Answer Incorrect Answer
D If x ≥ y Correct Answer Incorrect Answer
E If x ≤ y Correct Answer Incorrect Answer

Solution

I. 70x² - 143x + 72 = 0 70x² - 63x - 80 x + 72 = 0  7x(10 x – 9) – 8(10 x – 9) = 0 (7x – 8) (10 x – 9) = 0  ∴x = 9/10 ,8/7 II. 80 y² - 142y + 63 = 0 80 y² - 70 y - 72y + 63 = 0 10y(8 y – 7) – 9(8 y – 7) = 0 (10 y – 9) (8 y – 7) = 0 ∴y = 9/10 ,7/8 Hence,  x≥y.

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