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JAMB Mathematics 2000 Question 22

Question 22

Quadratic Equations

If α and β are the roots of the equation 3x2 + 5x − 2 = 0, find the value of 1/α + 1/β.

  1. A.−5/2
  2. B.−2/3
  3. C.½
  4. D.5/2
Show the answer and explanation

Answer: D (5/2)

Explanation

1/α + 1/β = (α + β)/(αβ). Here α + β = −5/3 and αβ = −2/3, so the value is (−5/3) ÷ (−2/3) = 5/2.