Multiple choice

Directions: In the following question, two equations (I) and (II) are given. You have to solve both the equations and give answer. (I) x2 - 40x + 39 = 0 (II) y2 + y - 2 = 0

  1. x > y

  2. x < y

  3. x ≥ y

  4. x ≤ y

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

I: x^2 - 40x + 39 = 0 -> (x-39)(x-1) = 0 -> x = 39, 1. II: y^2 + y - 2 = 0 -> (y+2)(y-1) = 0 -> y = -2, 1. Comparing roots: x=39, y=-2 (x>y); x=39, y=1 (x>y); x=1, y=-2 (x>y); x=1, y=1 (x=y). Thus x >= y.

AI explanation

Factoring equation one gives (x - 39)(x - 1) = 0, so x = 39 or x = 1. Factoring equation two gives (y + 2)(y - 1) = 0, so y = -2 or y = 1. Comparing the values, x = 39 is greater than both y values, and x = 1 is greater than y = -2 and equal to y = 1; therefore, x is greater than or equal to y.

Keep practicing — related questions