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