Multiple choice

$Quantity 1: (5946x^2 + 991x - 11892 = 0)$ $Quantity 2: (5994y^2 + 999y - 11988 = 0)$

  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

Equation 1: 5946x² + 991x - 11892 = 0. Using quadratic formula or factoring: x = [-991 ± √(991² + 4×5946×11892)]/(2×5946). Equation 2: 5994y² + 999y - 11988 = 0. Notice both coefficients are in similar ratios. The roots will be proportional. Without calculation, we can see the relationship isn't straightforward (one may be positive, one negative, or values may differ). The relationship cannot be established without solving completely. Option E is correct.

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