Multiple choice

Solve the following equations and determine the relationship between (x) and (y): (I) (x^2 - 30x + 221 = 0) (II) (y^2 - 34y + 285 = 0)

  1. If x < y

  2. If x > y

  3. If x ≥ y

  4. If x ≤ y

  5. If x = y or no relationship can be established between x and y.
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Solving the first equation: x^2 - 30x + 221 = 0 has discriminant 16, giving roots x = 13 and x = 17. Solving the second: y^2 - 34y + 285 = 0 has discriminant 16, giving roots y = 15 and y = 19. Comparing all possible values, x can be 13 or 17 while y can be 15 or 19. When x=17 and y=15, we have x>y, but when x=13 and y=19, we have x

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