Multiple choice

In the following questions two equations I and II are given. You have to solve both the equations and give answer. $( (I) x^2 – 18x + 77 = 0 )( (II) y^2 – 24y + 143 = 0 )$

  1. If x > y

  2. If x ≥ y

  3. If x < y

  4. If x ≤ y

  5. If x = y or the relationship cannot be determined.

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

Solving equation (I): x^2 - 18x + 77 = 0 factors as (x-7)(x-11) = 0, giving x = 7 or 11. Solving equation (II): y^2 - 24y + 143 = 0 factors as (y-11)(y-13) = 0, giving y = 11 or 13. When x=7, y can be 11 or 13 (x