ROOTS OF COMPLEX NUMBERS (Excercise Problems)

\[\LARGE{\color {purple} {PART- B}}\]
\[1.\ If \ ω\ is\ the\ cube\ roots\ of unity,\ what\ is\ the\ value\ of \ ω( ω\ +\ 1)\ \hspace{15cm}\]
\[\color {black}{Solution:}\ Given\ ω\ is\ the\ cube\ roots\ of unity\ \hspace{20cm}\]
\[i.\ e\ 1\ +\ ω\ +\ ω ^2\ =\ 0\ ——\ (1)\ \hspace{10cm}\]
\[ω( ω\ +\ 1)\ =\ ω ^2\ +\ ω\ =\ -\ 1\ (using\ (1))\ \hspace{10cm}\]