Direction: In the given question, two equations numbered l and II are given. Solve both equations and mark the appropriate answer.

I. 4x² − 25 = 0

II. y² − 10y + 25 = 0

This question was previously asked in
IBPS PO Prelims Memory Based Paper (Held On: 19 October 2024 Shift 2)
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  1. x ≥ y
  2. x ≤ y
  3. x < y
  4. x = y or Relation cannot be determined
  5. x > y

Answer (Detailed Solution Below)

Option 3 : x < y
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Detailed Solution

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Equation I: 4x² − 25 = 0

⇒ 4x² = 25 ⇒ x² = 25⁄4 ⇒ x = ±5⁄2

Equation II: y² − 10y + 25 = 0

⇒ (y − 5)² = 0 ⇒ y = 5

Possible x values: −2.5 and 2.5

y = 5

Both −2.5 < 5 and 2.5 < 5 ⇒ in every case x < y

Thus, the correct answer is x < y.

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