Math, asked by sakshibadhe, 1 year ago

if alpha and beta are the zeros of the polynomial x2+x+1, then find the value of 1/alpha+1/beta and alpha^2+beta^2

Answers

Answered by sijasubbiah
4
Hey

Here is your answer,

X^2 +x +1=0

Sum of zeroes = -b/a
Alpha + beta = -1/1 =-1

Product of zeroes= c/a
Alpha x beta = 1

1/ alpha + 1/beta = alpha+beta / alpha x beta
=-1/1
=-1

alpha ^2 + beta^2 = (Alpha + beta)^2 -2x alpha x beta
=(-1)^2 -2x 1
=1-2
=-1

Hope it helps you!

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