Multiple choice

Quantity 1 5946x2+991x-11892=0 Quantity 2 5994y2+999y-11988=0 मात्रा 1 5946x2+991x-11892=0 मात्रा 2 5994y2+999y-11988=0

  1. Quantity I > Quantity II मात्रा I > मात्रा II

  2. Quantity I ≥ Quantity II मात्रा I ≥ मात्रा II

  3. Quantity II > Quantity I मात्रा II > मात्रा I

  4. Quantity II ≥ Quantity I मात्रा II ≥ मात्रा I

  5. Quantity I = Quantity II or Relation cannot be established मात्रा I = मात्रा II या सम्बन्ध स्थापित नहीं किया जा सकता है
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Quantity 1: 5946x² + 991x - 11892 = 0. Using quadratic formula: x = [-991 ± sqrt(991² - 4(5946)(-11892))]/(2×5946) = [-991 ± sqrt(982081 + 282783768)]/11892 = [-991 ± sqrt(283765849)]/11892. sqrt(283765849) ≈ 16846. So x ≈ (-991 ± 16846)/11892. x₁ ≈ 15855/11892 ≈ 1.33, x₂ ≈ -17837/11892 ≈ -1.5. Quantity 2: 5994y² + 999y - 11988 = 0. y = [-999 ± sqrt(999² - 4(5994)(-11988))]/(2×5994) = [-999 ± sqrt(998001 + 287481408)]/11988 = [-999 ± sqrt(288479409)]/11988. sqrt(288479409) ≈ 16985. y ≈ (-999 ± 16985)/11988. y₁ ≈ 15986/11988 ≈ 1.33, y₂ ≈ -17984/11988 ≈ -1.5. Both equations have approximately the same roots: x₁ ≈ y₁ and x₂ ≈ y₂. Since both quantities represent the same values, Quantity I = Quantity II. Answer E is correct.

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