Multiple choice

Directions: In this question, two equations (i) and (ii) are given, you have to solve both the equations and give answer accordingly. (i) 12x2 + 11x + 2 = 0 (ii) 3y2 + 20y + 32 = 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
D Correct answer
Explanation

For (i) 12x^2 + 11x + 2 = 0, roots are x = -1/4, -2/3. For (ii) 3y^2 + 20y + 32 = 0, roots are y = -4, -8/3. Comparing values: -0.25 > -4, -0.25 > -2.66, -0.66 > -4, -0.66 > -2.66. Thus, x > y.

AI explanation

Factoring equation I gives (4x + 3)(3x + 2) = 0, so x = negative 3/4 or x = negative 2/3. Factoring equation II gives (3y + 8)(y + 4) = 0, yielding y = negative 8/3 or y = negative 4. Because both values of x are greater than both values of y, x > y.

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