Multiple choice

In each of the following questions you have to solve the given equations to find m and n and- I. (m^2 + 16 = 212) II. (n^2 - 6n - 16 = 0)

  1. if m > n

  2. if m ≥ n

  3. if m < n

  4. if m ≤ n

  5. if m = n or relationship can not be established.

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

Solve m² + 16 = 212, giving m = ±14. Solve n² - 6n - 16 = 0 using quadratic formula or factoring, giving n = 8 or n = -2. Since m can be 14 or -14, we have m > n when m = 14, but m < n when m = -14. The relationship cannot be uniquely established.