Thina basombulula quadratic equation 'kunye igrafu

quadratic equation 'ezi zibalo yenqanaba lesibini kunye variable. Zibonisa imo parabola on the nokulawula moya. Iingcambu ezinqwenelekayo kumela iingongoma apho igrafu inqumle x-axis. Ukususela okuza kuba pre-bafunde iimpawu ezithile parabola. Umzekelo, ukuba ixabiso ukuma phambi x ² lelikhabayo, isebe parabola uya kukhangela phezulu. Ukongeza, kukho inani lamaqhinga, nge apho kunokwenzeka khona ukuba lula isisombululo lenxaki elinikiweyo.

Types of quadratic equation '

Esi sikolo wafundisa Iintlobo ezininzi quadratic equation '. Kuxhomekeka lo mahluko kunye nezisombululo. quadratic equation 'uyakwazi ukwahlula phakathi iintlobo ezithile parameter. Olu hlobo iqulethe iqela variables:

kugawulwa ² + 12x 3 = 0

Enye indlela isenokuba kuchazwe equation apho variable imelwe enye inani elipheleleyo mazwi:

21 (x + 13) ² -17 (x + 13) -12 = 0

Kubangel 'umdla ukwazi ukuba konke oku kube jikelele Ngenxa i'quadratic equation. Ngamanye amaxesha yaziswe ngendlela apho bamele baqale ziphosa ukuze, akwiqela okanye lula.

4 (x + 26) ² - (- 43h + 27) (7-x) = 4

Ummiselo yezisombululo

quadratic equation 'ukuba isonjululwe ngayo le ndlela ilandelayo:

1. Ukuba kuyimfuneko, kukho indawo imilinganiselo eyamkelekileyo.
2. Le equation inikwa ngohlobo olufanelekileyo.
3. Isendaweni kwi discriminant ehambelana wokubala: D = b ² -4as.
4. Ukungqinelana ixabiso izigqibo discriminant malunga msebenzi. Ukuba D> 0, ke sithi lenxaki eneengcambu ezimbini ezahlukeneyo (e-D).
5. Emva koko, fumana esineengcambu alenxaki.
6. Okulandelayo (kuxhomekeke assignment) abekwa okanye ixabiso kwindawo ethile.

quadratic equation: theorem Wyeth kunye nezinye ukulungisa

Wonke umfundi ufuna kukhanya eklasini ulwazi lwabo, izakhono kunye savvy. Ngexesha isifundo quadratic equation 'oko kunokwenziwa ngeendlela ezininzi.

Kwimeko apho lomlingani a = 1, sonke sithethe ukusetyenziswa theorem Wyeth, njengoko apho iingcambu isixa ilingana ixabiso b, x emi phambi (yophawu malunga ezikhoyo), kwaye imveliso ye x ₁ x ₂ ilingana. zibalo Loo maKristu abizwa ngokuba waphuma.

-20h x ² + 91 = 0,

x _{1 *} x ₂ = 91 kunye x ₁ + x ₂ = 20 => x = ₁ 13 h ₂ = 7

Enye indlela kumnandi lula ukusebenza zemathematika kukuba ukusebenzisa iimpawu parameters. Ngoko ke, ukuba udibaniso lwamaxabiso wonke parameters ngu-0, kulandela ukuba x ₁ = 1 x ₂ = c / a.

17x ² -7h-10 = 0

0 = 07/17/10 ngaloo ingcambu 1: x ₁ = 1, kunye koren2: x ₂ = -10 / 12

Ukuba sum of the okuza a c ulingana b, ngoko x = ₁ no -1, ngokulandelelana, x ₂ = c / a

² + 25x + 24 = 49h 0

25 + 24 = 49, ngoko ke, _x1 = -1 kunye _X2 = -24/25

Le ndlela ekusombululeni quadratic equation 'lula kakhulu inkqubo ukubala, Abasindise isixa kakhulu ixesha. Zonke iintshukumo kungenziwa engqondweni, ngaphandle kokuchitha unexesha kolawulo okanye uhlolo umsebenzi phindo kwikholam okanye ukusebenzisa isixhobo sokubala.

quadratic equation 'kusebenza unxibelelwano phakathi amanani kunye nokulawula moya. Ukuze ngokukhawuleza nangokulula ukwakha umsebenzi parabola engqinelanayo, oko kuyimfuneko emva kokufumanisa phezulu kwayo ukrwele umgca nkqo nkqo ukuya x-axis. Emva koko, ingongoma nganye lungafumaneka ngokuphathelele lokumxelisa umgca elinikiweyo, ebizwa esqwini wolingano- macala.