Multiple choice

In each of the following questions two equations are given. You have to solve both the equation and state the correct relationship. $I. (x^2 - 22x - 23 = 0)$ $II. (y^2 - 12y - 13 = 0)$

  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 established

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

Solving equation I: x²-22x-23=0 factors to (x-23)(x+1)=0, so x=23 or x=-1. Solving equation II: y²-12y-13=0 factors to (y-13)(y+1)=0, so y=13 or y=-1. Comparing values: when x=23, x>y (13). When x=-1 and y=-1, x=y. When x=-1 and y=13, x