<prompt> Tafuta idadi ya nakala 10 x_1, x_2, dots, x_10 za nambari halisi kama hizo1 - x_12 x_1 - x_22 x_2 - x_32 vitone x_9 - x_102 x_102 frac 111.  <response>: Na usawa wa Cauchy-Schwarz,anzaalign12 12 12 dots 12 121 - x_12 x_1 - x_22 x_2 - x_3 2 vitone x_9 - x_102 x_102 ge 1 - x_1 x_1 - x_2 x_2 - x_3 vitone x_9 - x_10 x_102 1.endalignKutokana na hali iliyotolewa, tuna usawa, kwa hivyo kwa hali ya usawa ya Cauchy-Schwarz,frac1 - x_11 fracx_1 - x_21 fracx_2 - x_31 dots fracx_9 - x_101 fracx_101.Hebud 1 - x_1 x_1 - x_2 x_2 - x_3 vidoti x_9 - x_10 x_10.Kisha1 - x_1 x_1 - x_2 dots x_9 - x_10 x_10 11d,hivyo 11d 1. Kisha d frac1 11, hivyox_1, x_2, x_3, dots, x_10 kushoto frac1011, frac911, frac811, dots , frac111 kulia.Hasa, kuna suluhisho la 1 pekee. 