Multiple choice

In each of the following questions, two equations I and II are given. You have to solve them and Give answer (I) 7x2 + 26x – 45 = 0 (II) 3y2 – 13y + 14 = 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 established

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

Equation I: 7x² + 26x - 45 = 0 factors to (7x-9)(x+5)=0, giving x = 9/7 or x = -5. Equation II: 3y² - 13y + 14 = 0 factors to (3y-7)(y-2)=0, giving y = 7/3 or y = 2. Comparing: 9/7 < 7/3 and 9/7 < 2, so x < y. Option C is correct.