Question

if alpha and bita are zeroes of p(x)=x²+x+1, then 1/alpha+1/bita is
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Answer 1

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Your Answer

x² + x + 1 = 0

x² - (α+β)x + (αβ) ----------> Formula

therefore,

(α+β) = 1 ---> (1)

(αβ)   = 1 ---> (2)

Given that,

         1/α  + 1/β  =  α+β/αβ (from 1,2)

                          = 1/1

                          = 1

Hence the answer....