Nyob ib ncig ntawm 700AD cov kev daws teeb meem dav dav rau kev sib npaug plaub npaug, lub sijhawm no siv cov lej, tau tsim los ntawm tus lej Hindu hu ua Brahmagupta Brahmagupta Brahmagupta yog thawj tus muab cov cai los suav nrog xoom. Cov ntawv sau los ntawm Brahmagupta yog nyob rau hauv elliptic nqe lus nyob rau hauv Sanskrit, raws li yog ib qho kev xyaum nyob rau hauv Indian lej. Raws li tsis muaj pov thawj tau muab, nws tsis paub tias Brahmagupta cov txiaj ntsig tau li cas. https://en.wikipedia.org › wiki › Brahmagupta
Brahmagupta - Wikipedia
, leej twg, ntawm lwm yam, siv tus lej tsis sib haum; nws kuj lees paub ob lub hauv paus hauv kev daws.
Lub hauv paus ntawm kev sib npaug plaub npaug yog dab tsi?
Roots tseem hu ua x-intercepts lossis xoom. Ib qho kev ua haujlwm quadratic yog graphically sawv cev los ntawm parabola nrog vertex nyob ntawm lub hauv paus chiv keeb, hauv qab x-axis, lossis saum toj ntawm x-axis. … Yog li ntawd, txhawm rau nrhiav cov hauv paus ntawm kev ua plaub fab, peb teem f (x)=0 , thiab daws qhov sib npaug, ax2 + bx + c=0.
Dab tsi yog qhov piv txwv ntawm lub neej tiag tiag ntawm kev sib npaug plaub npaug?
pov pob, tua phom, dhia dej ntawm lub platform thiab ntaus pob golfyog txhua yam piv txwv ntawm cov xwm txheej uas tuaj yeem ua qauv los ntawm kev ua haujlwm quadratic. Hauv ntau qhov xwm txheej no koj yuav xav paub qhov siab tshaj lossis qis tshaj ntawm parabola, uas yog hu ua vertex.
Dab tsi yog txoj kev xav ntawm kev sib npaug plaub npaug?
Txoj kev xav ntawm quadratic equationcov qauv yuav pab peb daws cov teeb meem sib txawv ntawm kev sib npaug plaub npaug. Daim ntawv dav dav ntawm qhov sib npaug ntawm plaub yog ax2 + bx + c=0 qhov twg a, b, c yog cov lej tiag (constants) thiab a ≠ 0, thaum b thiab c yuav yog xoom. … Ntawm no cov hauv paus hniav α thiab β yog ib khub ntawm cov complex conjugates.
Leej txiv yog lej?
Archimedes yog suav tias yog leej txiv ntawm kev ua lej vim nws qhov kev tsim muaj txiaj ntsig zoo hauv kev ua lej thiab kev tshawb fawb. Nws nyob hauv kev pabcuam ntawm Vajntxwv Hiero II ntawm Syracuse. Thaum lub sij hawm ntawd, nws tsim ntau yam inventions. Archimedes tau tsim lub tshuab rub tawm tsim los pab cov neeg tsav nkoj txav cov khoom nce thiab nqis uas hnyav.
