<prompt> Acha a_1,b_1, a_2,b_2, dots, a_n,b_n ziwe jozi zote zilizoagizwa a,b za nambari changamano na a2 b2neq 0,afrac10ba2b25, quad textna quad bfrac10aa2b24.Tafuta a_1 b_1 a_2 b_2 vitone a_n b_n.  <response>: Ikiwa a 0, basi frac10b 5, hivyo b 2, ambayo haikidhi mlingano wa pili. Ikiwa b 0, basi frac10a 4, hivyo a frac52, ambayo haikidhi mlingano wa kwanza. Kwa hivyo, tunaweza kudhani kuwa a na b zote ni zisizo za kawaida.Kishafrac5 - ab frac4 - ba frac10a2 b2.Kwa hiyo,frac5b - abb2 frac4a - aba2 frac10a2 b2,hivyofrac4a 5b - 2aba2 b2 frac10a2 b2,hivyo 4a 5b - 2ab 10. Kisha 2ab - 4a - 5b 10 0, ambayo ni 2a - 5b - 2 0. Kwa hivyo, a frac52 au b 2. Ikiwa a frac52, basifrac52b frac10frac254 b2.Hii hurahisisha hadi 4b2 - 16b 25 0. Kwa formula ya quadratic,b 2 pm frac3i2.Kama b 2, basifrac2a frac10a2 4.Hii hurahisisha hadi a2 - 5a 4 0, ambayo huzingatia kama a - 1 a - 4 0, hivyo a 1 au a 4.Kwa hivyo, suluhu ni 1,2, 4,2, left frac52, 2 frac3i2 kulia, kushoto frac52, 2 - frac3i2 kulia, na jibu la mwisho ni1 2 4 2 frac52 2 frac3i2 frac52 2 - frac3i2 18. 