Question

If alfa beta are zeros of polynomial x2+x+1. Then find the sum of thier reciprocals

Answer 1

It's easy
To find-. 1/alpha+1/beta
If u take its LCM, U WIL FIND u get alpha + beta/alpha*beta
Now u know that alpha+beta= -b\a and alpha*beta is c/a

Answer 2

Heya !!!





X² + X + 1




Here,



A = 1 , B = 1 and C = 1




Sum of zeroes = -B/A



Alpha + Beta = -1 -------(1)



And,



Product of zeroes = C/A



Alpha × Beta = 1 --------(2)






Therefore,






1/ Alpha + 1/Beta




=> Beta + Alpha / Alpha × Beta






=> -1/1



=> -1





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