Iyini i-equation: incazelo, isixazululo, izibonelo

Kulolu shicilelo, sizobheka ukuthi iyini i-equation, nokuthi kusho ukuthini ukuyixazulula. Ulwazi lwethiyori olwethulwa luhambisana nezibonelo ezingokoqobo zokuqonda kangcono.

Okuqukethwe

Incazelo yesibalo

Isibalo ngu-, equkethe inombolo engaziwa ezotholwa.

Le nombolo ivamise ukuchazwa ngohlamvu oluncane lwesiLatini (imvamisa - x, y or z) futhi uyabizwa okuguquguqukayo zibalo.

Ngamanye amazwi, ukulingana isibalo kuphela uma iqukethe uhlamvu ofuna ukubala inani lalo.

Izibonelo zezibalo ezilula (okukodwa okungaziwa kanye nokusebenza kwe-arithmetic eyodwa):

  • x + 3 = 5
  • futhi - 2 = 12
  • z + 10 = 41

Ezibalweni eziyinkimbinkimbi kakhulu, okuguquguqukayo kungase kwenzeke izikhathi ezimbalwa, futhi kungase kuhlanganise abakaki nokusebenza kwezibalo okuyinkimbinkimbi. Ngokwesibonelo:

  • 2x + 4 – x = 10
  • 3 (y – 2) + 4y = 15
  • x2 + 5 = 9

Futhi, kungaba khona okuguquguqukayo okuningana ku-equation, isibonelo:

  • x + 2y = 14
  • (2x – y) 2 + 5z = 22

Umsuka we-equation

Ake sithi sinezibalo 2x + 6 = 16.

Iphenduka ibe ukulingana kweqiniso uma x = i-5. Leli nani (inombolo) lithi umsuka we-equation.

Xazulula isibalo - lokhu kusho ukuthola impande noma izimpande zayo (kuye ngokuthi inani lezinto eziguquguqukayo), noma ukufakazela ukuthi azikho.

Ngokuvamile, impande ibhalwa kanje: x = i-3. Uma kunezimpande ezimbalwa, zivele zifakwe ohlwini zihlukaniswe ngokhefana, isibonelo: x1 = 2, x2 =-5.

amanothi:

1. Ezinye izibalo zingase zingaxazululeki.

Ngokwesibonelo: 0 · x = 7. Noma iyiphi inombolo esiyishintshayo x, ngeke kusebenze ukuthola ukulingana okulungile. Kulokhu, impendulo ithi: "i-equation ayinayo izimpande."

2. Ezinye izibalo zinenani elingapheli lezimpande.

Ngokwesibonelo: kanye = futhi. Kulokhu, isisombululo yinoma iyiphi inombolo, okungukuthi x ∈ R, x ∈ Z, x ∈ Nkuphi N, Z и R ziyizinombolo zemvelo, inombolo ephelele kanye nezinombolo zangempela, ngokulandelana.

Izibalo Ezilinganayo

Izibalo ezinezimpande ezifanayo zibizwa kufana ne.

Ngokwesibonelo: x + 3 = 5 и 2x + 4 = 8. Kuzo zombili izibalo, isixazululo inombolo yesibili, okungukuthi x = i-2.

Izinguquko eziyisisekelo ezilinganayo zezibalo:

1. Ukudluliswa kwegama elithile ukusuka kwenye ingxenye yezibalo ukuya kwenye ngoshintsho kuphawu lwalo ukuya kokuphambene.

Ngokwesibonelo: 3x + 7 = 5 kufana ne 3x + 7 – 5 = 0.

2. Ukuphindaphinda / ukuhlukaniswa kwazo zombili izingxenye zesibalo ngenombolo efanayo, engalingani noziro.

Ngokwesibonelo: 4x - 7 = 17 kufana ne 8x - 14 = 34.

I-equation nayo ayishintshi uma inombolo efanayo yengezwa/ikhishwa nhlangothi zombili.

3. Ukwehliswa kwamagama afanayo.

Ngokwesibonelo: 2x + 5x – 6 + 2 = 14 kufana ne 7x - 18 = 0.

shiya impendulo