Question on: JAMB Mathematics - 2000

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

A
-5/3
B
-2/3
C
1/2
D
5/2
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Correct Option: D

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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