<prompt> Mlinganyox - sqrt313x - sqrt353x - sqrt3103 frac13inayo suluhu tatu tofauti r,s, na t. Kokotoa thamani ya r3 s3 t3.  <response>: Acha mizizi ya x - sqrt313x - sqrt353x - sqrt3103 0 iwe alpha, beta, na gamma. Kisha kwa fomula za Vieta,anzaalignr s t alpha beta gamma, rs rt st alpha beta alpha gamma beta gamma, rst alpha beta gamma frac13.endalignTuna uainishajir3 s3 t3 - 3rst r s tr s t2 - 3rs rt st.Hivyo, kutoka milinganyo hapo juu,r3 s3 t3 - 3 ya kwanza alpha3 beta3 gamma3 - 3 alpha beta gamma.Kwa hiyo,anzaalignr3 s3 t3 alpha3 beta3 gamma3 3ya kwanza - alpha beta gamma 13 53 103 1 170.mwishopanga 