Yiziphi amaqanda nendlela ukukhomba kubo

Yiziphi amaqanda? Impendulo ulula - ke yigama zezibalo, by okuqondwe esizindeni umsebenzi anikezwe, lapho ukubaluleka kwalo zero. Zeros ubizwa nangokuthi izimpande of the equation. Indlela elula ukuchaza lokho amaqanda, ezinye izibonelo elula.

izibonelo

Cabanga elula ezothando y = x + 3. Njengoba imisebenzi zero - ukubaluleka agumenti, okuyinto ngiye ngazuza at zero, we shintsha 0 ku ohlangothini lwesobunxele ezothando:

0 = x + 3;

x = -3.

Kulokhu iyona ofiselekayo -3 zero. Ukuze lo msebenzi, kukhona eyodwa kuphela impande ezothando, kodwa ngaso sonke isikhathi.

Cabangela esinye isibonelo:

y = x ² -9.

Thina bamelele 0 ku ohlangothini lwesobunxele ezothando, njengoba kulesibonelo odlule:

0 = x ² -9;

X ² = -9.

Ngokusobala, kuleli cala, i-amaqanda kuyoba ezimbili x = 3 futhi x = -3. Uma kule ndaba kwaba agumenti degree lwesithathu, amaqanda amathathu zazinjengethusi. Ungakwazi bafinyelele esiphethweni elula ukuthi isibalo ezimpandeni polynomial iyona degree esiphezulu kwe-agumenti yayo kule ndaba. Nokho, imisebenzi eminingi, ezifana y = x ^3, kubonakale sengathi kungqubuzana lesi sitatimende. Indlela yokucabanga ingqondo basikisela ukuthi lokhu umsebenzi ingenye zero kuphela - iphuzu x = 0. Kodwa eqinisweni, izimpande ezintathu, bonke bangabafowabo ngokufanayo nje. Uma thina ukuxazulula kwesibalo ifomu eziyinkimbinkimbi, kuba sobala. x = 0 kuleli cala, impande, kaningi 3. Esikhathini esidlule, amaqanda kungukuthi luqondane, ngoba omunye kwadingeka kaningi.

ukuzimisela algorithm

Lezi zibonelo zibonisa indlela ukucacisa amaqanda. I-algorithm ihlale ifana:

1. Record umsebenzi.
2. Obambele y noma f (x) = 0.
3. Xazulula ezothando okuholela.

Ukuba yinkimbinkimbi kwayo endaweni yokugcina kuncike degree of the equation lwempikiswano. Ngesikhathi isinqumo bezinga eliphezulu ezothando kubalulekile ikakhulukazi ukukhumbula ukuthi inani izimpande of the equation uyalingana degree esiphezulu i-agumenti. Lokhu kuyiqiniso ikakhulukazi zibalo Trigonometric, lapho division izingxenye ezimbili by sine noma cosine kuholele ekulahlekelweni izimpande.

I zibalo idigri ngokungenasizathu is elula ixazululwe by Horner, okwakubekelwa elakhelwe ekutholeni amaqanda i polynomial ezingafanele.

Inani amaqanda kungenzeka mubi noma ube muhle, eyangempela noma elele indiza eziyinkimbinkimbi, eyodwa noma amaningi. Noma izimpande kungase kungabi. Ngokwesibonelo, y umsebenzi = 8 ngeke uthole kuqanda iyiphi x, ngoba akuxhomekile lokhu okuguquguqukayo.

I y kwesibalo = x ² -16 elisuka ezimbili, futhi kokubili amanga indiza eziyinkimbinkimbi: x = 4і ₁ x ₂ = -4і.

amaphutha Evamile

A iphutha ezivamile abafundi namanje abazange esiphethweni okuningi mayelana nokuthi iyiphi amaqanda - esikhundleni zero agumenti (s) hhayi ukubaluleka (y) umsebenzi. Bona ngokuqiniseka wafaka ezothando x = 0, futhi ngesisekelo salokhu, kukhona ngesikhathi. Kodwa lena indlela engalungile.

Enye ngephutha, njengoba sekushiwo, ukuncishiswa sine noma cosine e zibalo Trigonometric, ngenxa yalokho balahlekelwa, futhi amaqanda eyodwa noma ngaphezulu. Lokhu akusho ukuthi lezi zibalo abakwazi usike lutho, nje lapho izibalo olwengeziwe kufanele inake lezi zici "elahlekile".

elwa sokuqhafaza

Zwisisa ukuthi amaqanda, ungasebenzisa izinhlelo weembalo afana Maple. Kungenzeka ukwakha igrafu ebonisa inombolo oyifunayo amaphuzu kanye esikalini oyifunayo. Labo amaphuzu lapho igrafu kweqa x-axis iyona amaqanda adingekayo. Lena enye yezindlela esheshayo yokuthola ezimpandeni polynomial, ikakhulukazi uma ingaphezu kwe-oda lwesithathu. Ngakho uma kukhona isidingo ukwenza njalo izibalo, ukuthola izimpande Polynomials kwamandla kabi amandla akhe, ukwakha amasheduli, Maple noma isimiso esifanayo kumane esisemqoka ukuqaliswa kanye ukuqinisekiswa izibalo.