Multiple choice

Directions: Two equations I and II are given below in the following question. You have to solve these equations and give your answer. 2x2 – 21x + 55 = 0 2y2 – 17y + 36 = 0

  1. if x < y

  2. if x > y

  3. if x ≤ y

  4. if x ≥ y

  5. if x = y or no relation can be established
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Solving 2x^2 - 21x + 55 = 0: roots are 5.5 and 5. Solving 2y^2 - 17y + 36 = 0: roots are 4 and 4.5. Since all x values (5, 5.5) are greater than all y values (4, 4.5), x > y.

AI explanation

Factoring the first equation 2x2 - 21x + 55 = 0 gives (2x - 11)(x - 5) = 0, resulting in x = 5.5 or 5. Factoring the second equation 2y2 - 17y + 36 = 0 gives (2y - 9)(y - 4) = 0, so the values of y are 4.5 and 4. Comparing the roots, both 5.5 and 5 are greater than both 4.5 and 4, which means x is always greater than y. Therefore, x > y.

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