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Question
If α and β are the roots of the equation `3x^2+8x+2=0` then (1/α+1/β)=?
(a)` -3/8` (b) `2/3` `(c) -4 (d)4`
Solution
It is given that α and β are the roots of the equation `3x^2+8x+2=0`
∴` α+β=-8/3` and αβ=`2/3`
`1/α+1/β=(α+β)/(αβ)=(-8/3)/(2/3)=-4`
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