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` 

 

 

Answer 1

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`