Multiple choice

In each question two equations numbered I and II are given, you have to solve both the equation and choose the correct answer. $I. (x^2 - 53x + 462 = 0) II. (y^2 - 88y + 1932 = 0)$

  1. X > Y

  2. X < Y

  3. X ≤ Y

  4. X ≥ Y

  5. X = Y or the relationship can’t be established
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Factor the quadratic equations. For equation I: x² - 53x + 462 = 0 factors to (x - 42)(x - 11) = 0, so x = 42 or x = 11. For equation II: y² - 88y + 1932 = 0 factors to (y - 46)(y - 42) = 0, so y = 46 or y = 42. Comparing all values: the smallest x (11) is less than the smallest y (42), and the largest x (42) is less than or equal to the largest y (46). Therefore x ≤ y for all combinations.

Keep practicing — related questions