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WAEC Further Mathematics 2013 Question 8

Question 8

Polynomials

If α and β are the roots of the equation 2x2 − 6x + 5 = 0, evaluate β/α + α/β.

  1. A.24/5
  2. B.8/5
  3. C.5/8
  4. D.5/24
Show the answer and explanation

Answer: B (8/5)

Explanation

α + β = 3, αβ = 5/2. β/α + α/β = ((α + β)² − 2αβ)/αβ = (9 − 5)/(5/2) = 8/5.