Question

alpha and beta are zeros of polynomial X square + 7 x + 7 then find the value of Alpha ^ - 1 + beta ^ - 1​

Answer 1

-1

Step-by-step explanation:

1) if x²+7x+7=0, where 'α' and 'β' are solutions, then

2) α+β= -7 and α*β=7, then

`3) \ (1)/(\alpha ) +(1)/(\beta ) =(\alpha + \beta )/(\alpha \beta)`

4) finally,

`(1)/(\alpha ) +(1)/(\beta ) =-1.`