<prompt> Acha alpha na beta ziwe mizizi ya x2 px 1 0, na acha gamma na delta ziwe mizizi ya x2 qx 1 0. Expressalpha - gammabeta - gammaalpha deltabeta deltakulingana na p na q.  <response>: Kwa kuwa alpha na beta ndio mizizi ya x2 px 1 0,x - alphax - beta x2 px 1.Kuweka x gamma, tunapatagamma - alphagamma - beta gamma2 p gamma 1.au alpha - gammabeta - gamma gamma 2 p gamma 1.Kuweka x -delta, tunapata-delta - alpha-delta - beta delta2 - p delta 1,au alpha betabeta delta delta2 - p delta 1.Kwa kuwa gamma na delta ndio mizizi ya x2 qx 1 0, gamma2 q gamma 1 0 na delta2 q delta 1 0. Kishagamma2 p gamma 1 p - q gammanadelta2 - p delta 1 -p q delta.Mwishowe, kwa fomula za Vieta, gamma delta 1, hivyop - q gamma cdot -p q delta q - pq p q2 - p2. 