Multiple choice

In each question two equations numbered I and II are given, you have to solve both the equation and state the correct relationship. $I. (2x^2 - 21x + 54 = 0)$ $II. (y^2 - 14y + 49 = 0)$

  1. X > Y

  2. X < Y

  3. X ≤ Y

  4. X ≥ Y

  5. X = Y or the relationship cannot be established
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Solve equation I: 2x² - 21x + 54 = 0 factors to (2x-9)(x-6) = 0, giving x = 4.5, 6. Solve equation II: y² - 14y + 49 = 0 is (y-7)² = 0, giving y = 7 (repeated root). Since both x values (4.5 and 6) are less than y = 7, x < y is always true.

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