Multiple choice

Find the value of variables and state the correct relation. (x^2 - 89x + 1278 = 0) (y^2 -35y + 306 = 0)

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

  5. x = y or relationship cannot be stablished
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For x: x² - 89x + 1278 = 0. Factoring: (x - 53)(x - 36) = 0 → x = 53 or x = 36. For y: y² - 35y + 306 = 0. Factoring: (y - 18)(y - 17) = 0 → y = 18 or y = 17. In all cases (x=53 or 36, y=18 or 17), we have x > y. This means x ≥ y is true, so option B is correct.

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