<prompt> Acha a, b, na c ziwe mizizi ya x3 - 7x2 5x 2 0. Tafutafracabc 1 fracbac 1 fraccab 1.  <response>: Kwa fomula za Vieta, a b c 7, ab ac bc 5, na abc -2.Tunaweza kusemafracabc 1 fracbac 1 fraccab 1 fraca2abc a frac b2abc b fracc2abc c.Kwa kuwa abc -2, hii inakuwafraca2a - 2 fracb2b - 2 fracc2c - 2.By Long Division, frac x2x - 2 x 2 frac4x - 2, hivyoanzaalignfraca2a - 2 fracb2b - 2 fracc2c - 2 a 2 frac44 a - 2 b 2 frac4b - 2 c 2 frac4c - 2 a b c 6 4 kushoto frac1a - 2 frac1b - 2 frac1c - 2 kulia 7 6 4 cdot fracb - 2c - 2 a - 2c - 2 a - 2b - 2a - 2 b - 2c - 2 13 4 cdot fracab ac bc - 4a b c 12abc - 2ab ac bc 4a b c - 8 13 4 cdot frac5 - 4 cdot 7 12-2 - 2 cdot 5 4 cdot 7 - 8 frac152.mwishopanga 