Multiple choice

Directions: In the following question, equations numbered I and II are given. You have to solve both the equations and choose the correct option. I. 35p2 - 29p + 6 = 0 II. 20q2 + q - 1 = 0

  1. p > q

  2. p ≥ q

  3. p < q

  4. p ≤ q

  5. p = q or no relation can be established
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Solving I: 35p^2 - 29p + 6 = 0 gives (5p-2)(7p-3)=0, so p = 0.4 or 0.428. Solving II: 20q^2 + q - 1 = 0 gives (4q-1)(5q+1)=0, so q = 0.25 or -0.2. Comparing values, p > q.

AI explanation

Factoring equation one by splitting the middle term gives 35p^2 - 15p - 14p + 6 = 0, resulting in (5p - 2)(7p - 3) = 0 and roots p = 0.4 and p = 3/7. Factoring equation two gives 20q^2 + 5q - 4q - 1 = 0, resulting in (4q - 1)(5q + 1) = 0 and roots q = 0.25 and q = -0.2. Since both values of p are greater than both values of q, p > q.

Keep practicing — related questions