Multiple choice

Directions: In the following question, two equations numbered I and II are given. You have to solve both the equations and find out the relationship between x and y. I. 3x2 + 11x + 10 = 0 II. 2y2 + 13y + 21 = 0

  1. x > y

  2. x ≥ y

  3. x < y

  4. x ≤ y

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

I: 3x^2 + 11x + 10 = 0 => (3x+5)(x+2) = 0 => x = -5/3, -2. II: 2y^2 + 13y + 21 = 0 => (2y+7)(y+3) = 0 => y = -3.5, -3. Comparing values: -1.66 > -3 and -2 > -3. Thus x > y.

AI explanation

Factor the first equation to get (3x+5)(x+2)=0, yielding x=-5/3 or x=-2. Factor the second equation to get (2y+7)(y+3)=0, yielding y=-7/2 or y=-3. Comparing these negative roots, we find that both values of x (-1.67 and -2) are strictly greater than both values of y (-3.5 and -3). Therefore, x > y.

Keep practicing — related questions