Question

If α and β are the roots of the equation ${\displaystyle 3x^2+8x+2=0}$ then (1/α+1/β)=? 

(a)${\displaystyle -\frac{3}{8}}$   (b) ${\displaystyle \frac{2}{3}}$  ${\displaystyle \left(c\right)-4 \left(d\right)4}$ 

 

 

Answer 1

It is given that  α and  β are the roots of the equation ${\displaystyle 3x^2+8x+2=0}$  

∴${\displaystyle \alpha +\beta =-\frac{8}{3}}$  and  αβ=${\displaystyle \frac{2}{3}}$ 

${\displaystyle \frac{1}{\alpha }+\frac{1}{\beta }=\frac{\alpha +\beta }{\alpha \beta }=\frac{-\frac{8}{3}}{\frac{2}{3}}=-4}$