<prompt> Acha alpha, beta, gamma, na delta ziwe mizizi yax4 kx2 90x - 2009 0.Kama alpha beta 49, pata k.  <response>: Acha alpha na beta ziwe mizizi ya x2 ux 49, ambayo ni kipengele cha x4 kx2 90x - 2009. Kisha kipengele kingine lazima kiwe cha fomu x2 vx - 41. Hivyo,x2 ux 49x2 vx - 41 x4 kx2 90x - 2009.Kupanua, tunapatax4 u v x3 uv 8 x2 -41u 49v - 2009 x4 kx2 90x - 2009.Migawo inayolingana, tunapataanzaalignu v 0, UV 8 k, -41u 49v 90.endalignKutatua mfumo u v 0 na -41u 49v 90, tunapata u -1 na v 1. Kwa hiyo, k uv 8 7. 