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MUODILAI KUBI

muodilai-kubiMUODILAI KUBI, muodilai algebravii tartibi seyumi namudi akh9 + bx2 + skh -f- d = 0 -ro guyand, ki dar on a^O mebo­shad. Dar in muodila kh-ro bo noma­lumi nav u, ki bo kh tavassuti baro­barii kh = u              aloqamand ast,

ivaz    namuda, muodilaro           ba        shakli

nisbatai sodda       (kanoni)        tabdil          do­dan mumkin:

u3 + ru 4- Ya = 0.

ki dar on

V* e R ” Za* ^ a 2*  be        d

9 ” 27a1            Za»     a ’

halli in muodilaro boshad, bo yorii formulai Kardano:

U = V —d!sh + Uu2/< + R3/at 4-

| V -ih-T/qV. + p’hr yoftan mumkin ast. Agar koeffisienthoi Muodilai kubi adadhoi haqiqi boshand, kharakteri reshahoi muodila ba alomati ifodai da/« 4* rg/p% ki dar formulai Kardano tahti reshai kvadrati meboshad, vobasta ast. Agar Ya1!* 4* R3/a7 > 0 boshad, Muodilai kubi se re­shai gunogun dorad: yake az onho haqiqi, dutoi digarash adadhoi kompleksii ba hamdigar hamrohshuda (payvasta) meboshand. Agar g7/i + +r3/at — 0 boshad, hamai reshaho haqiqi va dutoi onho ba hamdigar barobarand. Agar uaA+r3/a7 < 0 bo­shad, muodila reshahoi haqiqii gunogun dorad. Ifodai uaL+R3/a7 az diskriminavti Muodilai kubi Z)=*—4pJ—-27q2 tanho bo zarbkunandai doimi farq mekunad.

Adabiyot: K u r o sh A. G., Kurs visshey al­gebri, 11 izdanie., Moskva, 1975.

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