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 - 10x + 18.24 = 0) II. (y^2 - 6y + 8.75 = 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

For equation I: x² - 10x + 18.24 = 0, the discriminant is 100 - 72.96 = 27.04, giving x = (10 ± 5.2)/2 = 7.6 or 2.4. For equation II: y² - 6y + 8.75 = 0, the discriminant is 36 - 35 = 1, giving y = (6 ± 1)/2 = 3.5 or 2.5. The x values range from 2.4 to 7.6 while y values range from 2.5 to 3.5. Since the ranges overlap and x can be both greater and smaller than y, no definite relationship exists.

Keep practicing — related questions