Omega
Algebra
Level
4
\(\large{ X={ (\frac { 3{ \omega }^{ 2 }+2\omega +7 }{ 2{ \omega }^{ 2 }+7\omega +3 } +\frac { 5-8\omega }{ 8-5{ \omega }^{ 2 } } ) }^{ 2 } }\)
Find the value of \(X\)
Hint: \(\omega \) and \({ \omega }^{ 2 }\) are two of the cubic roots of 1
by
Abdulrahman El Shafei