Multiple choice

In the following question two equations numbered I and II are given. You have to solve both the equations and give answer thereof. $(I. ) (2x^2 - 13x + 21 = 0)$ $(II. ) (5y^2 - 22y + 21 = 0)$

  1. $\(x > y\)$
  2. $\(x \ge y\)$
  3. $\(x < y\)$
  4. $\(x \le y\)$
  5. x = y, or relation cannot be established

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

Equation I: 2x²-13x+21 = (2x-7)(x-3) = 0, so x = 3.5, 3. Equation II: 5y²-22y+21 = (5y-7)(y-3) = 0, so y = 1.4, 3. Compare: x=3.5 vs y=1.4 (x > y), x=3.5 vs y=3 (x > y), x=3 vs y=1.4 (x > y), x=3 vs y=3 (x = y). Since x ≥ y in all cases, option B correct.