<prompt> Kamaanzaaligna b c 1, a2 b2 c2 2, a3 b3 c3 3,mwishoalignpata a4 b4 c4.  <response>: Kuweka usawa wa a b c 1, tunapataa2 b2 c2 2ab 2ac 2bc 1.Tangu a2 b2 c2 2, 2ab 2ac 2bc -1 , hivyoab ac bc -frac12.Kupunguza mlinganyo a b c 1, tunapataa3 b3 c3 3a2 b ab2 a2 c ac2 b2 c bc2 6abc 1. Kwa kuwa a3 b3 c3 3,3a2 b ab2 a2 c ac2 b2 c bc2 6abc -2. quad Tukizidisha milinganyo a b c 1 na a2 b2 c2 2, tunapataa3 b3 c3 a2 b ab2 a2 c ac2 b2 c bc2 2.Kishaa2 b ab2 a2 c ac2 b2 c bc2 -1.Kisha kutoka kwa mlinganyo ,-3 6abc -2,hivyo abc frac16.Kwa fomula za Vieta, a, b, c, ndio mizizi ya mlinganyo x3 - x2 - frac12 x - frac16 0. Kwa hivyo,anzaaligna3 - a2 - frac12 a - frac16 0, b3 - b2 - frac12 b - frac16 0, c3 - c2 - frac12 c - frac16 0.endalignKuzidisha milinganyo hii kwa a,b,c, mtawalia, tunapataanzaaligna4 - a3 - frac12 a2 - frac16 a 0, b4 - b3 - frac12 b2 - frac16 b 0, c4 - c3 - frac12 c2 - frac16 c 0.endalignKuongeza milinganyo hii, tunapataa4 b4 c4 - a3 b3 c3 - frac12 a2 b2 c2 - frac16 a b c 0,hivyoa4 b4 c4 a3 b3 c3 frac12 a2 b2 c2 frac16 a b c 3 frac12 cdot 2 frac16 cdot 1 frac256 . 