Thina ukuxazulula zibalo quadratic futhi igrafu

zibalo Quadratic kukhona zibalo ezingeni lesibili nge kwenombolo. Zibonisa ukuziphatha parabola ku indiza Ukudidiyela. Izimpande oyifunayo bamele amaphuzu lapho igrafu kweqa x-axis. Kusukela okuza kungaba pre-funda izimfanelo athile parabola. Ngokwesibonelo, uma ukubaluleka emi phambi x ² alivumi, egatsheni parabola uyobheka phezulu. Ngaphezu kwalokho, kukhona eziningi namasu, nge okuyinto kungenzeka ukuba lula isixazululo of the equation inikezwe.

Izinhlobo zibalo quadratic

Isikole singifundise izinhlobo eziningana zibalo quadratic. Kuye lokhu umehluko kanye nezixazululo. zibalo quadratic iyakwazi ukuhlukanisa phakathi ezithile ipharamitha. Lolu hlobo iqukethe eziningi eziguquguqukayo:

ngembazo ² + 12x 3 = 0

Omunye uba ingashiwo equation lapho kumazinga imelelwa inombolo bese inamba eyodwa ethi:

21 (x + 13) ² -17 (x + 13) -12 = 0

Kuyaphawuleka ukuthi zonke lena umbono jikelele zibalo quadratic. Ngezinye izikhathi tiniketwe ngefomethi lapho kufanele kuqala ukubeka ukuze bona, ukuze uphumelele noma lula.

4 (x + 26) ² - (- 43h + 27) (7-x) = 4

Isimiso yesixazululo

zibalo Quadratic isixazululekile ngendlela elandelayo:

1. Uma kunesidingo, kukhona indawo lamanani amukelekile.
2. I kwesibalo kunikezwe ifomu elifanele.
3. Esisogwini discriminant elihambisana ifomula: D = b ² -4as.
4. Ngokuhambisana ukubaluleka iziphetho discriminant mayelana umsebenzi. Uma D> 0 ke sithi kwesibalo elisuka ezimbili ezihlukene (at D).
5. Ngemva kwalokho, thola izimpande equation.
6. Okulandelayo (kuye ngokuthi isabelo) abekwa noma kwenani ngisho iphuzu elithile.

zibalo Quadratic: Theorem Wyeth nezinye wesiginisha

Njalo umfundi ufuna kukhanye ekilasini ngolwazi yabo, amakhono kanye savvy. Phakathi nesifundo of zibalo quadratic ke kungenziwa ngezindlela eziningana.

Esimweni lapho Coefficient a = 1, singakhuluma ukusetshenziswa Theorem Wyeth, owawuthi izimpande isamba lilingana ukubaluleka b, x emi phambi (sophawu okuphambene kuya etholakalayo), futhi umkhiqizo x ₁ kanye x ₂ uyalingana. zibalo maKristu abizwa naphambili.

-20h x ² + 91 = 0,

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

Enye indlela mnandi lula ukusebenza zezibalo ukusebenzisa izakhiwo nemingcele. Ngakho, uma isamba sazo zonke nemingcele kuyinto 0, kusobala ukuthi x ₁ = 1 kanye x ₂ = c / a.

17x ² -7h-10 = 0

0 = 07/17/10 ngaleyo ndlela impande 1: x ₁ = 1, futhi koren2: x ₂ = -10 / 12

Uma isamba okuza a futhi c ilingana b ke x = ₁ futhi -1, ngokulandelana, x ₂ = c / a

² + 25x + 24 = 49h 0

25 + 24 = 49 Ngakho-ke, _x1 = -1 kanye _x2 = -24/25

Le ndlela ekusombululeni zibalo quadratic lula kakhulu inqubo yokubala, futhi kusindisa owawudinga isikhathi. Zonke izenzo kungenziwa engqondweni, ngaphandle kokuchitha isikhathi sakhe esiyigugu kokulawulwa noma ukuhlolwa umsebenzi ukubuyabuyelela kukholamu noma usebenzise wokubala.

zibalo Quadratic ukukhonza njengephayona ukuhlobana izibalo kanye nokudidiyela indiza. Ukuze ngokushesha futhi kalula ukwakha umsebenzi parabola ohambelana, kubalulekile emva kokuthola udwebe umugqa mpo phezulu yayo perpendicular x-axis. Ngemva kwalokho, iphuzu ngalinye ingatholakala ngenhlonipho lokulingisa emgqeni unikezwa, ngokuthi eksisi wesimethri.