Multiple choice

In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer. $I. (x^2 + 11x + 30 = 0) II. (y^2 + 12y + 36 = 0)$

  1. $\(x > y\)$
  2. $\(x \ge y\)$
  3. $\(x < y\)$
  4. $\(x \le y\)$

  5. x = y or relationship between x and y cannot be established
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For equation I: x² + 11x + 30 = 0 factors to (x+5)(x+6) = 0, giving x = -5 or x = -6. For equation II: y² + 12y + 36 = 0 factors to (y+6)² = 0, giving y = -6 (repeated root). When x = -5, we have x > y. When x = -6, we have x = y. Since x can be greater than OR equal to y depending on which root we take, the relationship is x ≥ y.

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