Multiple choice

In following questions two equations (I) and (II) are given you have to solve the questions and find the values of the variables and answer the given questions according to below given pattern. I. (4x^2 + 23x + 15 = 0) II. (4y^2 – 14y + 10 = 0)

  1. x < y

  2. x ≤ y

  3. x > y

  4. x ≥ y

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

For equation I: 4x² + 23x + 15 = 0. Factoring: (4x + 3)(x + 5) = 0. So x = -3/4 = -0.75 or x = -5. For equation II: 4y² - 14y + 10 = 0. Divide by 2: 2y² - 7y + 5 = 0. Factoring: (2y-5)(y-1) = 0. So y = 2.5 or y = 1. Both values of x (-0.75, -5) are less than both values of y (1, 2.5). Therefore x < y is correct.

Keep practicing — related questions