<prompt> Kwa kuzingatia kwamba 0le x_3 le x_2 le x_1le 1 na 1-x_12x_1-x_22x_2-x_32x_32frac1 4, pata x_1.  <response>: Kwa QM-AM, tumepatasqrtfrac1-x_12x_1-x_22x_2-x_32x_324 ge frac1-x_1 x_1-x_2x_2-x_3x_34 frac14.Kuchukua mraba wa pande zote mbili, na kisha kuzidisha pande zote mbili kwa 4 hutupatia,1-x_12x_1-x_22x_2-x_32x_32 ge frac14.Usawa utatokea ikiwa tu 1- x_1x_1-x_2x_2-x_3x_3 frac14. Tunaweza kutatua ili kupata x_1 frac34, x_2 frac12, na x_3 frac14. 