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 - 8.8x + 12.6 = 0) (II) (y^2 - 4.4y + 4.2 = 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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E Correct answer
Explanation

Solving equation (I): x² - 8.8x + 12.6 = 0 gives x = 6.3 or x = 2. Solving equation (II): y² - 4.4y + 4.2 = 0 gives y = 3 or y = 1.4. Comparing values: when x = 2 and y = 1.4, x > y; when x = 2 and y = 3, x < y. Since the relationship varies depending on which roots we compare, no consistent relationship exists between x and y.

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