Multiple choice

Directions: In the following question, equations numbered I and II are given. You have to solve both the equations and mark the answer as per the instructions. I. x2 + 25x + 156 = 0 II. y2 – 32y + 207 = 0

  1. x < y

  2. x > y

  3. x ≥ y

  4. x ≤ y

  5. x = y or the relation cannot be established
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

I: x^2 + 25x + 156 = 0 -> (x + 12)(x + 13) = 0, so x = -12, -13. II: y^2 - 32y + 207 = 0 -> (y - 9)(y - 23) = 0, so y = 9, 23. Comparing values, -12 < 9, -12 < 23, -13 < 9, -13 < 23. Thus, x < y.

AI explanation

Factorizing the quadratic equations, x2 + 25x + 156 = 0 gives (x + 12)(x + 13) = 0, so x equals -12 or -13. Also, y2 - 32y + 207 = 0 gives (y - 9)(y - 23) = 0, so y equals 9 or 23. Since both negative values of x are less than the positive values of y, the relation x < y is established.

Keep practicing — related questions