<prompt> Acha floor x floor idokeze nambari kamili kabisa chini ya au sawa na x. Ni nambari ngapi halisi x zinazotosheleza mlinganyo x2 10000floor x floor 10000x?  <response>: Tukitoa 10000 floor xfloor kutoka pande zote mbili, tunapata equation x2 10000x - floor xfloor 10000 x.Ili kuelewa suluhu za mlinganyo huu, tunazingatia grafu za yx2 na y 10000x. Grafu ya yx2 ni parabola ya kawaida; grafu ya y10000x ina sehemu za mstari kati ya pointi n, 0 na n1, 10000 kwa kila nambari n, ikijumuisha ncha ya kushoto lakini sivyo. mwisho sahihi:asyukubwa cm 18;chora0,-.5--0,5.5,Mshale wa Mwisho;chora-4.5,0--4.4,0;leboldets,-6.5,2;leboldets,6.5,2;chora-8.5,0---12.5,0; chora 8.5,0--12.5,0,Mshale wa Mwisho;kwa int n-12; n-10; n tekan,0--n1,4; filldrawMduaran,0,0.08,nyeusi; filldrawMduaran1,4,0.08,nyeupe;kwa int n9; n11; n tekan,0--n1,4; filldrawMduaran,0,0.08,nyeusi; filldrawMduaran1,4,0.08,nyeupe;chora-9,0---8.75,1; filldrawMduara-9,0,0.08,nyeusi;kwa int n-4; n3; n tekan,0--n1,4; filldrawMduaran,0,0.08,nyeusi; filldrawMduaran1,4,0.08,nyeupe;f halisi x halisi kurudi 0.03 x2; choragrafuf, -4.5, 4.2;g halisi x halisi kurudi 4100 x2; chorareversegrafug, -10.8,-8.6,Mshale wa Mwisho;halisi h x halisi kurudi 4121 x2; choragrafuh, 9.3,11.8,Mshale wa Mwisho;leboP,-10,4,2NNE, fontsize10;leboQ,11,4,2NNW, fontsize10;lebox,12.5,0,E;leboy,0,5.5,N;asy Kumbuka kwamba grafu ya y x2 inapitia pointi zote mbili P -100, 10000 na Q 100, 10000, kama inavyoonyeshwa hapo juu, kwa hivyo zote pointi -99, 10000, -98, 10000, dots, 99, 10000 ziko juu ya parabola. Inafuata kwamba parabola huingilia tu sehemu zinazofanana na pointi hizo. Kuna 99 - -99 1 199 ya sehemu hizi, kwa hivyo idadi ya masuluhisho ya mlinganyo ni 199. 