Vieta ndi Lingaliro Lovomerezeka ndi pang'ono za mbiri

Vieta Lingaliro Lovomerezeka - wodziwika ku sukulu pafupifupi aliyense. Koma kaya ndi "bwino" kwenikweni? Ochepa nawo pa moyo watsiku ndi tsiku. Koma si anthu onse amene akuvutika ndi masamu, nthawi zina bwino tanthauzo lakuya ndi zofunika kwambiri kwa Lingaliro Lovomerezeka izi.

Vieta Lingaliro Lovomerezeka kwambiri zimatithandiza ndondomeko kuthetseratu nambala yaikulu mavuto masamu, zomwe pamapeto pake wiritsani pansi ku kuthetsa ndi aone kuti pali quadratic :

ax2 + bx + m'ma = 0, kumene ≠ 0.

Izi ndi muyezo mtundu wa anthu aone kuti pali quadratic. Nthawi zambiri, chotero aone kuti pali quadratic ali koefishienti ndi, b, ndi C, sipangakhalenso mosavuta wosalira ndi kugawa iwo mu. Pankhaniyi, tinafika zikutanthauza wa aone kuti pali quadratic, wotchedwa yafupika (pamene koyefishienti loyamba aone kuti pali ndi wofanana 1):

x2 + px + Q = 0

Ndi mtundu wa maikwezhoni ndi yabwino ntchito Lingaliro Lovomerezeka la Vieta. Waukulu tanthauzo Lingaliro Lovomerezeka ndi kuti mfundo za mizu kv.uravneniya anapatsidwa pakamwa mosavuta anatsimikiza podzindikira ubale yaikulu ya Lingaliro Lovomerezeka:

• Uwerenge mizu ndi wofanana ndi chiwerengero cha zosiyana koyefishienti chachiwiri (i.e., -p);
• mankhwala ndi wofanana ndi chinthu chachitatu (ie, Q).

Ndicho, x1 + x2 = -p, ndi x1 * x2 = Q.

chigamulo cha ambiri mavuto masamu sukulu yafupika losavuta awiri manambala kuti ndi osavuta kupeza pa chuma osachepera maluso a mawerengedwe m'kamwa. Ndipo si chifukwa vuto. Pali Lingaliro Lovomerezeka osiyanitsidwa wa Vieta limalola awiri wogwila a manambala, ndiwo mizu ya aone kuti pali quadratic, n'zosavuta kuti abwezeretse koefishienti ake ndi kulemba fomu muyezo.

Luso ntchito Vieta Lingaliro Lovomerezeka ngati chida kwakukulukulu limachepetsanso mavuto masamu ndi thupi mu njira ya sekondale. Makamaka luso limeneli ndi yofunika kwambiri pokonza ophunzira a makalasi mkulu mayeso.

Atazindikira kufunika kochita zimenezi Chida chophweka ndi ogwira masamu, ine sindikanakhoza kuthandizira kuganiza chiyani za mwamuna, nthawi yoyamba lidzatsegulidwa.

Fransua việt - wotchuka French wasayansi, amene anayamba ntchito yake loya. Koma, mwachionekere, masamu anali kuyitanidwa kwake. Ngakhale utumiki achifumu mlangizi, iye anakhala wotchuka, iye anatha kuwerenga ndi intercepted yosiyanasiyana uthenga wa mfumu ya Spain ku Netherlands. Zimenezi zinachititsa kuti French mfumu Henry III mwayi kudziwa zolinga zonse za adani ake.

Pang'onopang'ono, chiyambi kudziwa masamu, Fransua việt anazindikira kuti payenera kukhala wogwirizana kwambiri ndi atsopano pa nthawi zofufuza "algebraists" ndi cholowa zozama za wakale zojambula. Mu njira ya kafukufuku wa sayansi izo udaikidwa ndi kukonza pafupifupi kupulayimale ajebura. Iye koyamba kugwiritsa ntchito mfundo zenizeni mu zida za masamu, kusiyana pakati pa mfundo zingapo, ndi mtengo wa ubale wawo. Wyeth anasonyeza kuti mwa kuchita ntchito mu mawonekedwe ophiphiritsa, angathetse vuto pa nkhani ambiri, pafupifupi mfundo zonse za mfundo mwachindunji.

kafukufuku kwa kuthetsa maikwezhoni kuposa wachiwiri, chinachitika mu Lingaliro Lovomerezeka amene panopa limatchedwa zowombetsa mkota Lingaliro Lovomerezeka la Vieta. Iwo ali lalikulu tanthauzo othandiza komanso chimathandiza tanthauzo lake njira mwachangu maikwezhoni dongosolo apamwamba.

Mmodzi wa katundu wa Lingaliro Lovomerezeka izi motere: tinachita onse mizu ya mlingo N-TH ndi wofanana ndi anthu ake ufulu. Mundawu kawirikawiri amagwiritsidwa ntchito pothetsa maikwezhoni wa digirii wachitatu kapena wachinayi ndi cholinga kuchepetsa dongosolo la polenomiyo lapansi. Ngati polenomiyo digiri N-TH ali mizu inteja, iwo akhoza amadziwikanso ndi kusankha yosavuta. Ndi zina, ndi kuchita kugawanika polenomiyo pa mawu (x1-x), ndi polenomiyo (n-1) TH digiri.

Pomaliza, tikuona kuti Vieta Lingaliro Lovomerezeka ndi imodzi yotchuka theorems sukulu ajebura Inde. Ndipo dzina lake akutenga malo oyenera mwa maina a masamu lalikulu.