Multiple choice

Find the value of variables and state the correct relationship.(x^2 - 29x + 204 = 0)(y^2 - 38y + 357 = 0)

  1. $x > y$
  2. $x \ge y$
  3. $x < y$
  4. $x \le y$

  5. x=y or relation cannot be established
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

x² - 29x + 204 = 0 has discriminant 25, so x = (29 ± 5)/2 = 17 or 12. y² - 38y + 357 = 0 has discriminant 16, so y = (38 ± 4)/2 = 21 or 17. Comparing all pairs: x=17 equals y=17; otherwise x=12 or 17 is always ≤ y=17 or 21. Therefore x ≤ y is always true.

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