Multiple choice

In each of the following questions two equations (I) and (II) are given. Solve these equations and give the answer: (I) (x^2 - 102x + 2240 = 0) (II) (y^2 - 156y + 2240 = 0)

  1. $\(x > y\)$
  2. $\(x \ge y\)$
  3. $\(x < y\)$
  4. $\(x \le y\)$

  5. If x = y or no relationship can be established between x and y
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

For equation (I), factoring gives x^2 - 102x + 2240 = (x - 70)(x - 32) = 0, so x = 70 or x = 32. For equation (II), y^2 - 156y + 2240 = (y - 140)(y - 16) = 0, so y = 140 or y = 16. When x = 70, it can be greater than y = 16 but less than y = 140. When x = 32, it can be greater than y = 16 but less than y = 140. Since x can be greater than, less than, or even equal to y depending on which root you pick, no definitive relationship exists.

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