Multiple choice

In each of these questions, two equations (a) and (b) are given. You have to solve both the equations and give answer. a) $(x^{2} + 18x - 115 = 0)$ b) $(y^{2} – 24y + 95 = 0)$

  1. x > y

  2. x ≤ y

  3. x ≥ y

  4. x < y

  5. x = y or relationship between x and y can't be established

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Solving x² + 18x - 115 = 0 gives x = -23 or x = 5. Solving y² - 24y + 95 = 0 gives y = 5 or y = 19. Comparing all possible values of x and y, the largest x value is 5 and the smallest y value is 5, so x ≤ y is always true.