Question

I. 99x² + 161 x + 26 = 0

II. 26 y² + 161 y + 99 = 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. 99x² + 161 x + 26 = 0 99x² + 143x + 18x + 26 = 0  11x(9 x + 13) + 2 (9 x + 13) = 0 (11 x + 2) (9 x + 13) = 0 ∴x = -2/11 , -13/9 II. 26 y² + 161 y + 99 = 0 26 y² + 18y + 143 y  + 99 = 0  2 y (13 y + 9) + 11(13 y + 9) = 0 ∴y = -11/2 , -9/13 Hence, relationship cannot established between x and y.

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