Multiple choice

Directions: In the given question, two equations (I) and (II) are given. You have to solve both the equations and select answer from the given options. I. 6x2 - 5x + 1 = 0 II. 4y2 - 7y + 3 = 0

  1. If x > y

  2. If x ≥ y

  3. If x < y

  4. If x ≤ y

  5. x = y, or no relation cannot be established.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

For 6x^2 - 5x + 1 = 0, roots are x = 1/2, 1/3. For 4y^2 - 7y + 3 = 0, roots are y = 1, 3/4. Comparing values: 1/2 < 3/4 and 1/3 < 1, so x < y.

AI explanation

Factoring equation one gives (3x minus 1)(2x minus 1) equals 0, so x equals 1 divided by 3 or 1 divided by 2. Factoring equation two gives (4y minus 3)(y minus 1) equals 0, so y equals 3 divided by 4 or 1. Comparing these values, both possible values of x are strictly less than both possible values of y, which means x is less than y.

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