Multiple choice

Directions: In the following question, two equations (i) and (ii) are given, you have to solve both the equations and give answer accordingly. (i) 4x2 + 11x + 7 = 0 (ii) 3y2 + 15y + 18 = 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

For (i) 4x^2 + 11x + 7 = 0, roots are x = -1 and x = -7/4 (-1.75). For (ii) 3y^2 + 15y + 18 = 0, y^2 + 5y + 6 = 0, roots are y = -2 and y = -3. Comparing the roots, -1 > -2, -1 > -3, -1.75 > -2, and -1.75 > -3. Thus, x > y.

AI explanation

Factoring equation I gives (4x + 7)(x + 1) = 0, so x = negative 7/4 or x = negative 1. Factoring equation II gives 3(y squared + 5y + 6) = 0, yielding (y + 3)(y + 2) = 0 and y = negative 3 or y = negative 2. Both values of x are greater than both values of y, so x > y.

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