Multiple choice

Directions: In the given question, two equations are given. You have to solve both the equations and mark the correct option. (i) x2 - 172x + 7371 = 0 (ii) y2 - 132y + 4331 = 0

  1. x > y

  2. x < y

  3. x ≤ y

  4. x ≥ y

  5. The relationship between x and y cannot be established.
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A Correct answer
AI explanation

For the first equation x2 - 172x + 7371 = 0, we find two numbers that multiply to 7371 and add to 172, which are 67 and 105, so x = 67 or x = 105. For the second equation y2 - 132y + 4331 = 0, the numbers 47 and 85 multiply to 4331 and add to 132, giving y = 47 or y = 85. When comparing the values, both possible values of x (67 and 105) are strictly greater than both possible values of y (47 and 85). Therefore, x is always greater than y.

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