Directions (49-53) : In the given questions, two equations numbered I and II are given. You have to solve both the equations and
Give answer
(1)If x < y
(2)If x > y
(3)If x >- y
(4)If x<- y
(5) If relationship between x and y cannot be established
I. \( \large 6x^{2} \) +11x + 4 = 0 II. \( \large 4y^{2} \) -7y - 2 = 0
Correct Answer: Description for Correct answer:
I.
\( \large 6x^{2} \) + 11x + 4 = 0
\( \large 6x^{2} \) + 8x + 3x + 4 = 0
2x(3x + 4) + 1(3x + 4) = 0
(2x + 1)(3x + 4) = 0
=> x = -\( \Large \frac{1}{2} \), \( \Large \frac{-4}{3} \)
II.
\( \large 4y^{2} \) - 7y - 2 = 0
\( \large 4y^{2} \) - 8y + y - 0
4y(y - 2) + 1(y - 2) = 0
(y - 2)(4y + 1) = 0
=> y = 2, -\( \Large \frac{1}{4} \)
So, x < y
Part of solved IBPS PO-Prelims1 questions and answers :
Exams >> Bank Exams >> IBPS PO-Prelims1