Multiple choice

In the following questions, there are two equations. Solve the equations and answer accordingly. $I. (49p^2 - 84p + 36 = 0) II. (25q^2 - 30q + 9 = 0)$

  1. $\(p < q\)$
  2. $\(p > q\)$
  3. p = q or relationship cannot be established.

  4. $\(p \leq q\)$
  5. $\(p \geq q\)$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The first equation factors to (7p-6)² = 0, giving p = 6/7. The second factors to (5q-3)² = 0, giving q = 3/5. Comparing these: 6/7 ≈ 0.857 and 3/5 = 0.6, so p > q.