Question

In the following questions two equations numbered I and II are given. You have to solve both the equations. Give answer :

I. 84x² - 167x - 55 = 0

II. 247y² + 210y + 27 = 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. 84x² - 167x - 55 = 0 84x² - 35x - 132x - 55 = 0 7x (12 x – 5) – 11 (12 x – 5) = 0 (12 x – 5) (7 x – 11) = 0 ∴ x = 5/12, 11/7 II. 247y² + 210y + 27 = 0 247y² + 171y + 39 y + 27 = 0 19 y(13 y + 9) + 3(13 y + 9) = 0 (19 y + 3) (13 y + 9) = 0 ∴y = -3/19, -9/13 Hence, x>y

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