Multiple choice

Directions: In the following question, two equations numbered I and II are given. You have to solve both the equations and then choose the correct option. I. 6x2 + 29x + 35 = 0 II. 3y2 + 19y + 30 = 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

For I: 6x^2 + 29x + 35 = 0 -> (2x+5)(3x+7) = 0, so x = -2.5 or -2.33. For II: 3y^2 + 19y + 30 = 0 -> (3y+10)(y+3) = 0, so y = -3.33 or -3. Comparing values, -2.5 > -3.33 and -2.5 > -3, and -2.33 > -3.33 and -2.33 > -3. Thus x > y.

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