Multiple choice

Directions: In the following question, two equations (i) and (ii) are given. You have to solve both the equations and mark the correct option accordingly. (i) 2x2 - 5x - 3 = 0 (ii) 2y2 - 11y + 12 = 0

  1. x > y

  2. x ≥ y

  3. x = y, or no relation can be established between x and y.

  4. x ≤ y

  5. x < y
Reveal answer Fill a bubble to check yourself
C Correct answer
AI explanation

Using the method of factorization on the first equation, we split 2x2 - 5x - 3 = 0 into (2x + 1) and (x - 3) = 0, yielding the roots x = -1/2 or 3. The second equation is factored into (2y - 3) and (y - 4) = 0, yielding the roots y = 3/2 or 4. When comparing these values, x is less than y when x equals -1/2 or 3, but x is greater than y when x equals 3 and y equals 3/2, which means no consistent relationship can be established.

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