Multiple choice

Directions: Equations I and II are given. You have to solve both the equations and give answer. I. 25p2 - 55p + 28 = 0 II. 25q2 + 20q - 32 = 0

  1. p ≥ q

  2. p < q

  3. p > q

  4. p ≤ q

  5. p = q or relation cannot be established
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A Correct answer
Explanation

I: 25p^2 - 55p + 28 = 0. Roots are p = (55 +/- sqrt(3025 - 2800)) / 50 = (55 +/- 15) / 50. p = 1.4 or 0.8. II: 25q^2 + 20q - 32 = 0. Roots are q = (-20 +/- sqrt(400 + 3200)) / 50 = (-20 +/- 60) / 50. q = 0.8 or -1.6. Comparing p and q, p >= q.

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