Multiple choice

Directions: In this question, two Quantities I and II are given. You have to solve both the Quantities to establish the correct relation between Quantity I and Quantity II and choose the correct option. x2 + 13x + 42 = 0 Quantity I: Roots of x Quantity II: > -1

  1. Quantity I > Quantity II

  2. Quantity I < Quantity II

  3. Quantity I ≥ Quantity II

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or No relation
Reveal answer Fill a bubble to check yourself
B Correct answer
AI explanation

Factoring the quadratic equation x squared plus 13 x plus 42 equals 0 gives (x plus 7)(x plus 6) equals 0, so the roots of x are negative 7 and negative 6. Quantity 2 is given as greater than negative 1, meaning any number like 0 or a positive number. Since both roots of x are less than any value greater than negative 1, Quantity 1 is less than Quantity 2.

Keep practicing — related questions