UI Post-UTME Mathematics 2024 (Model questions) Question 19

Question 19

Quadratic Equations

If α and β are the solutions to x2 + 3x − 10 = 0, find 1/α + 1/β

  1. A.−3/10
  2. B.3/10
  3. C.−10/3
  4. D.10/3
Show the answer and explanation

Answer: B (3/10)

Explanation

1/α + 1/β = (α + β)/(αβ) = (−3)/(−10) = 3/10.