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  9. Q49

IBPS PO 2018 · Question 49 of 98

Direction: In the given question, two equations numbered I and II are given. You have to solve both the equations and mark the appropriate answer. I. 2x² + 5x + 3 = 0. II. 2y² – 7y + 6 = 0.

Quadratic Equations

  1. Aif x > y
  2. Bif x ≥ y
  3. Cif x < yCorrect
  4. Dif x ≤ y
  5. Eif x = y or the relationship cannot be established.

Answer: C. if x < y

Explanation

First equation: 2x² + 5x + 3 = 0 ⇒ 2x² + 2x + 3x + 3 = 0 ⇒ 2x(x + 1) + 3(x + 1) = 0 ⇒ x = –1 or –3/2. Second equation: 2y² – 7y + 6 = 0 ⇒ 2y² – 4y – 3y + 6 = 0 ⇒ 2y(2y – 4) – 3(2y – 4) = 0 ⇒ y = 2 or 3/2. ⇒ When x = –1, y > x. When x = –3/2, y > x. ∴ y > x.

Source: IBPS PO 2018 Prelims Memory-Based Test 13-Oct-2018 Shift 1 (Prepp) · memory-based

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