Multiple choice

In the following question, the given equations are given, after solving the equation, find the correct answer. ( I. x^2 – 23x + 126 = 0 ) ( II. y^2 – 5y – 150 = 0 )

  1. x > y

  2. x < y

  3. x ≥ y

  4. x ≤ y

  5. x = y or relation can’t be established

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

Solving x² - 23x + 126 = 0: factors of 126 that sum to 23 are 14 and 9, so x = 14 or x = 9. Solving y² - 5y - 150 = 0: factors of -150 that differ by 5 are 15 and -10, so y = 15 or y = -10. Since x can be 14, 9 and y can be 15, -10, the relationship varies: when x=14, y can be 15 or -10; when x=9, y can be 15 or -10. No consistent relationship exists.