MUODILAI KVADRATI, muodilai namudi akh*+kh+s — 0-ro guyand, ki dar on a, , s adadhoi ikhtiyori buda, koeffisienthoi muodila nomida meshavand. Muodilai kvadrati du resha dorad, ki az rui formulahoi ^ _ — +U ‘—4as 1 Ta 1
b —U bt—iae 2 a
hisob karda meshavand. Ifodai D = = 2 — 4as diskriminanti Muodilai kvadrati nomida meshavad. Agar D > 0 boshad, Muodilai kvadrati reshahoi haqiqii gunogun dorad; agar D < 0 boshad, reshahoi Muodilai kvadratii adadhoi kompleksii ba hamdigar hamrohshuda (payvasta) meboshand; agar D * 0 boshad, Muodilai kvadrati doroi du reshai haqiqii ba hamdigar barobar meboshad. Vobastagii bayni resha az koeffisienthoi Muodilai kvadratiro formulai Vieta J| + J2 = —b/a, kh\kh^ v cla
muayyan mekunad. Tarafi chapi Muodilai kvadratiro dar namudi v(j — kh\) (j — —j2) ifoda kardan mumkin ast. Funksiyai u = akh2+kh+s-ro seazoii kvadrati menomand, ki grafiki on az parabolai qullaash dar nuqtai M(—/2a; e—62/4v) voqegashta va tiri simmetriyaash ba tiri Ou parallel iborat meboshad; sam- ti shokhahoi parabola bo alomati a yakkhela ast; Usulhoi geometrii halli Muodilai kvadrati az davrahoi qadim malum bud.