if x and b are the roots of the polynomial f(x)=x2

Asked by asifabbasi1999 | 24th Aug, 2020, 12:27: AM

Expert Answer:

Given: alpha and beta are the roots of polynomial P(x)=x2+x+1
Using the relation between roots and coefficients, we have
straight alpha plus straight beta equals negative 1 space and space αβ equals 1
1 over straight alpha plus 1 over straight beta equals fraction numerator straight alpha plus straight beta over denominator αβ end fraction equals fraction numerator negative 1 over denominator 1 end fraction equals negative 1

Answered by Renu Varma | 25th Aug, 2020, 11:54: AM