Question

the sum of the reciprocal of the roots of the equation 3 x^{2} +8x + 2= 0 is

Answer 1

Hey There!!! 

Here, the equation is $3x^2+8x+2=0$ 

Let roots be $\alpha$ and $\beta$


Then, $\alpha+\beta = -\frac{8}{3}$


And, also: $\alpha \beta = \frac{2}{3}$

Now,

We want sum of reciprocal of roots. So, we have:   


$Ans = \frac{1}{\alpha}+\frac{1}{\beta} \\ \\ \implies Ans = \frac{\alpha + \beta}{\alpha \beta} \\ \\ \implies Ans = \frac{\frac{-8}{3}}{\frac{2}{3}} \\ \\ \\ \implies \boxed{\textbf{Ans = -4}}$ 


Hope it helps
Purva
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