<prompt> Tafuta idadi ya nambari halisi zilizoagizwa x,y,z kama hizoanzaalignx 2y 4z 12, xy 2xz 4yz 22, xyz 6.mwishopanga  <response>: Acha a x, b 2y, na c 4z. Kisha x a, y frac12 b, na z frac1 4 c, ili mfumo uliotolewa uweanzaaligna b c 12, ab ac bc 44, abc 48.endalignKisha kulingana na fomula za Vieta, a,b, na c ndio mizizi yat3 - 12t2 44t - 48 0.Mambo haya kama t - 2t - 4t - 6 0, hivyo a, b, c ni 2, 4, 6, kwa mpangilio fulani.Kuna 3! Njia 6 za kugawa 2, 4, 6 hadi a, b, na c. Hizi hutoa 6 suluhu tofauti x,y,z, kupitia kibadala x a, y frac12 b, z frac14 c. 