Multiple choice

Directions: In this question, two equations (I) and (II) are given. You have to solve both the equations and give answer as (a) if x > y (b) if x > y (c) if x y (e) if x = y, or the relationship between x and y cannot be established I. x2 + 5x + 6 = 0 II. y2 + 11y + 30 = 0

  1. a

  2. b

  3. c

  4. d

  5. e
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The first equation has roots -2 and -3, while the second has roots -5 and -6. Every possible x value is greater than every possible y value, so x > y.

AI explanation

Factor the first equation to get (x + 2)(x + 3) = 0, giving x = -3 and x = -2. Factor the second equation to get (y + 5)(y + 6) = 0, giving y = -5 and y = -6. Comparing the roots, both values of x are greater than both values of y, so x > y.

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