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OAU Post-UTME Mathematics 2013 Question 10

Question 10

Quadratic Equations

If α and β are the roots of the equation 6 + 5x − x2 = 0, find αβ + α + β.

  1. A.11
  2. B.−11
  3. C.1
  4. D.−1
Show the answer and explanation

Answer: D (−1)

Explanation

Write it as x² − 5x − 6 = 0: α + β = 5 and αβ = −6. So αβ + α + β = −1.