Multiple choice

Directions: In the question, two equations numbered I and II are given. You have to solve both the equations and give the answer. I. x2 + 3x + 2 = 0 II. y2 + 16y + 55 = 0

  1. x > y

  2. x ≥ y

  3. x < y

  4. x ≤ y

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

I: x^2 + 3x + 2 = 0 => (x+1)(x+2) = 0 => x = -1, -2. II: y^2 + 16y + 55 = 0 => (y+5)(y+11) = 0 => y = -5, -11. Since -1 > -5 and -2 > -11, x > y.

AI explanation

Using the method of factorization, the first equation gives (x + 1)(x + 2) = 0, meaning x equals -1 or -2. The second equation factors to (y + 5)(y + 11) = 0, so y is either -5 or -11. Because -1 and -2 are both greater than -5 and -11, every valid value of x is greater than every valid value of y. Therefore, x > y.

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