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 – 7x + 6 = 0 y2 – 9y + 20 = 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
A Correct answer
Explanation

Solving 2x^2 - 7x + 6 = 0 gives (2x-3)(x-2) = 0, so x = 1.5 or 2. Solving y^2 - 9y + 20 = 0 gives (y-4)(y-5) = 0, so y = 4 or 5. Since all values of x are less than all values of y, x < y.

AI explanation

Factoring the first quadratic equation 2x2 - 7x + 6 = 0 gives (2x - 3)(x - 2) = 0, which results in x = 1.5 or 2. Factoring the second equation y2 - 9y + 20 = 0 gives (y - 4)(y - 5) = 0, meaning y = 4 or 5. Comparing these roots, both 1.5 and 2 are less than both 4 and 5, so x is always less than y. Therefore, x < y.

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