Multiple choice

In each question two equations numbered I and II are given, you have to solve both the equations and choose the correct answer. $I. (5x^2 - 7x - 6 = 0) II. (5y^2 + 23y + 12 = 0)$

  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
D Correct answer
Explanation

Solving equation I: 5x² - 7x - 6 = 0 gives (5x + 3)(x - 2) = 0, so x = -3/5 or x = 2. Solving equation II: 5y² + 23y + 12 = 0 gives (5y + 3)(y + 4) = 0, so y = -3/5 or y = -4. Comparing all values: x = 2 > y = -3/5, x = 2 > y = -4, x = -3/5 = y = -3/5, x = -3/5 > y = -4. Since x is always greater than or equal to y, x ≥ y.

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