<prompt> Acha omega iwe mzizi wa z3 1. a_1, a_2, dots, a_n ziwe nambari halisi ilifrac1a_1 omega frac1a_2 omega dots frac1a_n omega 2 5i.Kokotoofrac2a_1 - 1a_12 - a_1 1 frac2a_2 - 1a_22 - a_2 1 dots frac2a_n - 1a_n2 - a_n 1.  <response>: Tuna hiyo omega3 1. Kisha omega3 - 1 0, ambayo huchangia kama omega - 1omega2 omega 1 0. Tangu omega si halisi, omega2 omega 1 0. Kwa fomula ya quadratic,omega -frac12 pm fracsqrt32 i.Tukichukua muunganisho wa mlingano uliotolewa, tunapatafrac1a_1 overlineomega frac1a_2 overlineomega dots frac1a_n overlineomega 2 - 5i.Kumbuka kwamba ikiwa a ni nambari halisi, basianzaalignfrac1a omega frac1a overlineomega fraca omega a overlineomegaa omegaa jumlaomega frac2a omega jumlaomegaa2 omega overlineomega a omega overlineomega frac2a - 1a2 - a 1.mwishoalignKwa hiyo,anzaalignjumla_k 1n frac2a_k - 1a_k2 - a_k 1 sum_k 1n kushoto frac1a_k omega frac1a_k overlineomega kulia 2 5i 2 - 5i 4.mwishopanga 