Multiple choice

In the following questions, two equations Quantity I and Quantity II are given. You have to solve both the equations and give answer. \text{Quantity I:} 2x^2 + 19x + 45 = 0 \text{Quantity II:} y^2 - 17y + 72 = 0

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity I < Quantity II

  4. Quantity I ≤ Quantity II

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

Quantity I: 2x² + 19x + 45 = 0 factors as (2x + 5)(x + 9) = 0, giving x = -2.5 or x = -9. Quantity II: y² - 17y + 72 = 0 factors as (y - 8)(y - 9) = 0, giving y = 8 or y = 9. Both x values are negative while both y values are positive, so x < y for all combinations.

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