Question

Find the sum of the 5th roots of unity.

Answer 1

${x}^{5} = 1 \\ so \: sum \: of \: the \: roots \: of \: unity \: will \: be \: \\ the \: coefficient \: of \: {x}^{4} . \\ hene \: \: required \: sum \: is \: 0.(by \: viet \: law)$