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 - 9.2x + 19.2 = 0) (II) (y^2 - 5.5y + 7.5 = 0)

  1. x > y

  2. x ≥ y

  3. x < y

  4. x ≤ y

  5. If x = y or no relationship can be established between x and y
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

For equation I: x² - 9.2x + 19.2 = 0. Discriminant = 9.2² - 4(19.2) = 7.84. Roots: x = (9.2 ± 2.8)/2 = 6, 3.2. For equation II: y² - 5.5y + 7.5 = 0. Discriminant = 5.5² - 4(7.5) = 0.25. Roots: y = (5.5 ± 0.5)/2 = 3, 2.5. All x values (3.2, 6) are greater than all y values (2.5, 3). Therefore x > y.

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