Multiple choice

$Quantity I: (7x^2 - 34x - 5 = 0) () Quantity II: (2y^2 - 3y - 14 = 0)$

  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
E Correct answer
Explanation

Quantity I: 7x² - 34x - 5 = 0 factors to (7x + 1)(x - 5) = 0, so x = 5 or x = -1/7. Quantity II: 2y² - 3y - 14 = 0 gives y = [3 ± √121]/4 = 3.5 or y = -2. Comparing roots: x can be greater (5 > 3.5, 5 > -2, -0.14 > -2) or less (-0.14 < 3.5) than y depending on which values are chosen. No consistent relationship exists.

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