Multiple choice

Directions: In the question given below, two equations (i) and (ii) are given, you have to solve both the equations and give answer accordingly. (i) 4x2 – 13x – 35 = 0 (ii) 2y2 – 39y + 154 = 0

  1. x > y

  2. x < y

  3. x ≥ y

  4. x ≤ y

  5. x = y or no relation can be established between x & y.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Solving (i): 4x^2 - 13x - 35 = 0 -> (4x + 7)(x - 5) = 0, so x = 5 or -1.75. Solving (ii): 2y^2 - 39y + 154 = 0 -> (2y - 11)(y - 14) = 0, so y = 5.5 or 7. Comparing values: 5 < 5.5, 5 < 7, -1.75 < 5.5, -1.75 < 7. Thus, x < y.

AI explanation

Factoring equation I gives (x minus 5)(4x + 7) = 0, so x = 5 or x = negative 7/4. Factoring equation II gives (2y minus 11)(y minus 14) = 0, meaning y = 11/2 or y = 14. Because 5 is less than 11/2 and negative 7/4 is less than both values of y, x is less than y.

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