Multiple choice

Directions: In the given question, two equations are given. You have to solve both the equations and mark the correct option. (1) x2 - 26x + 153 = 0 (2) y2 - 50y + 621 = 0

  1. x > y

  2. x < y

  3. x ≤ y

  4. x ≥ y

  5. The relationship between x and y cannot be established.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Solving x^2 - 26x + 153 = 0: (x-9)(x-17) = 0, so x = 9, 17. Solving y^2 - 50y + 621 = 0: (y-23)(y-27) = 0, so y = 23, 27. Comparing all pairs, x < y.

AI explanation

For the first equation x2 - 26x + 153 = 0, we find two numbers that multiply to 153 and add to 26, which are 17 and 9, so x = 17 or x = 9. For the second equation y2 - 50y + 621 = 0, the numbers 27 and 23 multiply to 621 and add to 50, giving y = 27 or y = 23. When comparing the values, both possible values of y (27 and 23) are strictly greater than both possible values of x (17 and 9). Therefore, x is always less than y.

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