Multiple choice

Directions: In this question, two equations numbered I and II are given. You have to solve both the equations and mark the correct answer. I. x2 - 16x + 63 = 0 II. y2 - 2y - 35 = 0

  1. if x > y

  2. if x < y

  3. if x ≥ y

  4. if x ≤ y

  5. if x = y or no relationship can be established between 'x' and 'y'
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Solving equation I: x^2 - 16x + 63 = 0 gives (x - 9)(x - 7) = 0, so x = 9 or 7. Solving equation II: y^2 - 2y - 35 = 0 gives (y - 7)(y + 5) = 0, so y = 7 or -5. Comparing values, x is always >= y.

AI explanation

Factor the first equation as (x - 7)(x - 9) = 0 to get x = 7 or 9. Factor the second equation as (y - 7)(y + 5) = 0 to get y = 7 or -5. Comparing the values, both values of x are greater than or equal to the values of y, meaning x is greater than or equal to y.

Keep practicing — related questions