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 - 50x + 625 = 0) (II) (y^2 - 28y + 196 = 0)

  1. If x < y

  2. If x > y

  3. If x ≥ y

  4. If x ≤ y

  5. If x = y or no relationship can be established between x and y.
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B Correct answer
Explanation

Equation (I): x² - 50x + 625 = 0 factors as (x-25)² = 0, so x = 25. Equation (II): y² - 28y + 196 = 0 factors as (y-14)² = 0, so y = 14. Since 25 > 14, we have x > y. Both are perfect square trinomials that yield single roots.

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