Math, asked by furiouslegend9632, 6 months ago


if \:  \alpha  \: and \:  \beta  \: are \: the \: roots \: of \: the \:  \\ polynomial \: f(x) =  {x }^{2}  + x + 1. \:  \\ then \:  \frac{1}{ \alpha }  +  \frac{1}{ \beta }  =

Answers

Answered by mittu751
1

-1

1/a+1/b

=a+b/ab

a+b is sum of roots ( from the equation -b/a)

= -1

ab is product of roots ( from the equation c/a)

=1

finally-1/1 is -1

note: consider a,b as alpha and beta

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