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

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