If α and β are the roots of the equation 3×2 + 5x – 2 = 0, find the value of 1/α + 1/β
- \(\frac{-5}{3}\)
- \(\frac{-2}{3}\)
- \(\frac{1}{2}\)
-
\(\frac{5}{2}\)
The correct answer is: D
Explanation
1/α + 1/β = β+α/αβ
3x2 + 5x - 2 = 0
x2 + 5x/3 - 2/3 = 0
αβ = -2/3
β+α = -5/3
Thus; β+α/αβ = -2/3 -2/3 = -5/2
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