Multiple choice

In each question two equations numbered I and II are given, you have to solve both the equation and choose the correct answer. I. (X^2 = 1225) II. (5Y^2 - 20Y - 105 = 0)

  1. X > Y

  2. X < Y

  3. X ≤ Y

  4. X ≥ Y

  5. X = Y or the relationship can’t be established
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Solving equation I: X² = 1225 gives X = ±35. Solving equation II: 5Y² - 20Y - 105 = 0 simplifies to Y² - 4Y - 21 = 0, which factors to (Y-7)(Y+3) = 0, giving Y = 7 or Y = -3. Comparing: when X = 35, X > Y (since Y is at most 7); but when X = -35, X < Y. The relationship can't be established consistently.

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