Multiple choice

In the following question, the given equations are given, after solving the equation, find the correct answer. I. (x^2 - 38x + 360 = 0) II. (y^2 - 23y + 102 = 0)

  1. x > y

  2. x < y

  3. x ≥ y

  4. x ≤ y

  5. x = y or relation can’t be established
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Solving x² - 38x + 360 = 0 gives (x-18)(x-20) = 0, so x = 18 or 20. Solving y² - 23y + 102 = 0 gives (y-17)(y-6) = 0, so y = 17 or 6. When x = 18, x > y for both y values (18 > 17, 18 > 6). When x = 20, x > y for both (20 > 17, 20 > 6). Therefore x > y is always true.

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