Multiple choice

In the following question two equation numbered I and II are given you have to solve both the equations and give answer. (I.) (x^4 – 227 = 398) (II.) (y^2 + 321 = 346)

  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: x^4 - 227 = 398 gives x^4 = 625, so x = ±5. Solving equation II: y^2 + 321 = 346 gives y^2 = 25, so y = ±5. Since x can be 5 or -5, and y can be 5 or -5, we have multiple possibilities: x = y when both are 5 or both are -5, but x > y when x = 5 and y = -5, while x < y when x = -5 and y = 5. Therefore, the relationship cannot be established.