Whakaoti matou whārite pūrua me te kauwhata

whārite pūrua he whārite o te taumata tuarua ki te tāupe. whakaata ratou te whanonga o te unahi i runga i te waka rererangi taunga. Ko te pakiaka e hiahiatia tohu nga ngā i ai te kauwhata whiti te tuaka x-. Mai i taea te whakarea e mua-ako etahi huru maitatai o te unahi. Hei tauira, ki te te uara o tu i roto i te ritenga o x ² He tōraro, te unahi manga e pai titiro ake. I tua atu, i reira e he maha o tinihanga, mā i te reira taea ki te faaohie i te otinga o te whārite homai.

Ngā momo o whārite pūrua

Ua haapii te kura e rave rahi ngā momo o whārite pūrua. Runga anō i tenei i puta ke, me rongoā. Ka taea e whārite pūrua wehewehe i roto i ngā momo motuhake o te tawhā. Kei tēnei momo he maha o taurangi:

toki ² + 12x 3 = 0

kia kia whakahuatia tētahi atu rerekētanga whārite i roto i i faahoho'ahia te tāupe e te maha, me te tau tōpū kīanga kotahi:

21 (x + 13) ² -17 (x + 13) -12 = 0

He mea utu te tuhituhi e ko te tirohanga whānui o te whārite pūrua tenei katoa. I te tahi taime e te aroaro ratou i roto i te hōputu roto nei me te tuatahi kia hoatu ratou i roto i te tikanga, ki te me'a māmā ranei.

4 (x + 26) ² - (- 43h + 27) (7 x) = 4

Ko te parau tumu o te otinga

E faatiti'aifarohia whārite pūrua i te ara e whai ake:

1. Ki te tika, kahore he he wāhi o ngā uara manakohia.
2. hoatu te whārite i roto i te puka e tika ana.
3. Kei runga i te discriminant hāngai ki te tātai: D = b ² -4as.
4. I roto i runga i te uara o te discriminant whakatau e pā ana ki te mahi. Ki te D> 0, ka mea tatou e kua te whārite pakiaka e rua rerekē (i D).
5. I muri i taua, kitea nga pakiaka o te whārite.
6. Next (i runga i te taumahi kei) e runanga uara ranei i te wāhi tetahi.

whārite pūrua: Ariā Wyeth me ētahi atu tweaks

Katoa o ngā ākonga matea e ki whiti i roto i te akomanga ki a ratou mōhiotanga, pūkenga me matika. I roto i te ako o whārite pūrua e taea te mahi i te reira i roto i te maha ngā huarahi.

I roto i te take i reira te whakarea he = 1, ka taea e tatou e te kōrero e pā ana ki te tono o te ture tauwehe Vieta, kia rite ki te mea e rite ana ki te uara o te b te moni o nga pakiaka, e tu ana i roto i mua o te x (ki te tohu ritenga ki te ngā), me te hua o te x ₁ me x ₂ he rite ki. e karangatia mai taua whārite.

-20h x ² + 91 = 0,

x _{1 *} x ₂ = 91, me te x ₁ + x ₂ = 20 => x = ₁ 13 me te h ₂ = 7

Ko tētahi atu huarahi ahuareka ki te faaohie te pāngarau mahi He ki te whakamahi i te āhuatanga o ngā tawhā. Na, ki te mea te moni o ngā tawhā katoa ko te 0, whai reira e x ₁ = 1 me x ₂ = c / te.

17x ² -7h-10 = 0

0 = 07/17/10 kupu pakiaka 1: x ₁ = 1, me koren2: x ₂ = -10 / 12

Ki te ko te moni o nga tau whakarea i te me te c rite ki te b, na x = ₁ me -1, aua, x ₂ = c / he

² + 25x + 24 = 49h 0

25 + 24 = 49, Na, _x1 = -1 me _x2 = -24/25

Tenei huarahi ki te whakaoti i te whārite pūrua nui ohie te tukanga tatauranga, a ka whakaora i te nui rahi o te wā. Ka taea te mahi ngā mahi katoa i roto i te hinengaro, i waho te haamau'araa taime utu nui o te mana tirohanga ranei te mahi i runga i te whakarea i roto i te tīwae ranei te whakamahi i te tātaitai.

whārite pūrua mahi rite te hono i waenganui i te tau, me te taunga rererangi. Hei hanga hohoro a ngāwari te mahi unahi ōrite, he mea e tika ana i muri i te kimi i tona runga utu i te rārangi poutū hāngai ki te tuaka-x. I muri iho, e taea te whiwhi ia wāhi ki te faatura ki tapua te raina hoatu, ka karanga te tuaka o te hangarite.