Multiple choice

Directions: Two equations are given in the question. You have to solve these equations and give answer accordingly. x2 – 17x + 72 = 0 y2 – 21y + 110 = 0

  1. x > y

  2. x < y

  3. x ≤ y

  4. x ≥ y

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

x^2 - 17x + 72 = 0 => (x-8)(x-9) = 0, so x = 8, 9. y^2 - 21y + 110 = 0 => (y-10)(y-11) = 0, so y = 10, 11. Comparing the sets, every value of x is less than every value of y, so x < y.

AI explanation

Factoring the first equation x2 - 17x + 72 = 0 gives (x - 8)(x - 9) = 0, resulting in x = 8 or 9. Factoring the second equation y2 - 21y + 110 = 0 gives (y - 10)(y - 11) = 0, so y = 10 or 11. Comparing these roots, both 8 and 9 are less than both 10 and 11, meaning x is always less than y. Therefore, x < y.

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