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UI Post-UTME Mathematics 2025 (Model questions) Question 5

Question 5

Quadratic Equations

If α and β are the roots of the equation 2x2 − 5x + 1 = 0. Find the value of α2 + β2

  1. A.17/4
  2. B.19/14
  3. C.21/4
  4. D.19/4
Show the answer and explanation

Answer: C (21/4)

Explanation

α + β = 5/2 and αβ = 1/2, so α² + β² = (α + β)² − 2αβ = 25/4 − 1 = 21/4.