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