Multiple choice

(\text{Find the correct relationship between given quantities.}\\text{Quantity I: } 2x^2 + 29x + 50 = 0\\text{Quantity II: } 3y^2 + 18y + 27 = 0)

  1. Quantity I < Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity II > Quantity I

  4. Quantity II < Quantity I

  5. Quantity I = Quantity II or Relation cannot be established
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Quantity I: 2x² + 29x + 50 = 0 gives x = -2 or x = -8. Quantity II: 3y² + 18y + 27 = 0 gives y = -3. The relationship between x and y cannot be uniquely determined: if x = -2, then x > y (-2 > -3); if x = -8, then x < y (-8 < -3). Since x can be greater or less than y, the relation cannot be established.

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