IBPS Clerk Prelims Model Paper 21

I. 12x2 + 11x – 56 = 0
12x2 + 32x – 21x – 56 = 0
4x(3x + 8) – 7(3x + 8) = 0
(3x + 8) (4x – 7) = 0
x = −

8

3

,

7

4

II. 4y2 – 15y + 14 = 0
4y2 – 8y – 7y + 14 = 0
4y(y – 2) – 7(y – 2) = 0
(y – 2) (4y – 7) = 0
y = 2,

7

4

Conclusions:
x = y =

7

4

;
⇒ x ≤ y
Hence, this is the correct answer.
Hence, this is the required result.