Question

I. 20x² - 93x + 108 = 0

II.72y² - 47y - 144 = 0

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

Solution

I. 20x² - 93x + 108 = 0 20x² - 48x - 45x + 108 = 0 4x (5x – 12) – 9(5x – 12) = 0 (4x – 9) (5x – 12) = 0 x = 9/4 , 12/5 II. 72y² - 47y - 144 = 0 72y² + 81y - 128y - 144= 0 9y(8y + 9) – 16(8y + 9) (9y – 16) (8y + 9) = 0 y = 16/9 , -9/8 Hence x > y.

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