Multiple choice

In each of the following questions (I) and (II) equations are given. You have to solve them and Give answer- (I) 12x2 - 8x - 7 = 0 (II) 10y2 + 23y + 12 = 0

  1. If x > y

  2. If x ≥ y

  3. If x < y

  4. If x ≤ y

  5. If x = y or relationship cannot be determined

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Solve both quadratics. For (I): x = [8 ± √(64 + 336)]/24 = [8 ± 20]/24, giving x = 7/6 or -1/2. For (II): y = [-23 ± √(529 - 480)]/20 = [-23 ± 7]/20, giving y = -4/5 or -3/2. Comparing all four combinations: 7/6 > -4/5, 7/6 > -3/2, -1/2 > -4/5, -1/2 > -3/2. In every case x > y.