2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116526A new form of Bethe ansatz equations is introduced. A version of a separation of variables for the quantum $sl_3$ Gaudin model is presented.latex, 29 pages, bibliography is extendedQuantum AlgebraClassical Analysis and ODEsOn the new form of Bethe ansatz equations and separation of variables in the $sl_3$ Gaudin modeltext