Kuthetsa ma equation ndi imodzi yosadziwika (yosinthika)

M'bukuli, tiwona tanthauzo ndi mtundu wamba wolembera equation ndi imodzi yosadziwika, komanso perekani njira yothanirana ndi izi ndi zitsanzo zothandiza kuti timvetsetse bwino.

Timasangalala

Kufotokozera ndi kulemba equation

Mafotokozedwe a masamu a fomu nkhwangwa + b = 0 imatchedwa equation ndi imodzi yosadziwika (yosinthika) kapena equation ya mzere. Pano:

  • a и b - nambala iliyonse: a ndiye coefficient ya zomwe sizikudziwika, b - coefficient yaulere.
  • x - kusintha. Chilembo chilichonse chingagwiritsidwe ntchito kutchulidwa, koma zilembo zachilatini zimavomerezedwa. x, y и z.

Equation ikhoza kuyimiridwa mu mawonekedwe ofanana nkhwangwa = -b. Pambuyo pake, timayang'ana zovuta.

  • RџS•Rё ndi ≠0 mudzi umodzi x = -b/a.
  • RџS•Rё = 0 equation itenga mawonekedwe 0 ⋅ x = -b. Pamenepa:
    • if b ≠ 0, palibe mizu;
    • if b = 0, muzu ndi nambala iliyonse, chifukwa mawu 0 ⋅ x = 0 zoona pa mtengo uliwonse x.

Algorithm ndi zitsanzo zothetsa ma equation ndi imodzi yosadziwika

Zosankha zosavuta

Ganizirani zitsanzo zosavuta za = 1 ndi kukhalapo kwa coefficient imodzi yokha yaulere.

MwachitsanzoAnakonzaKufotokozera
akutimawu odziwika amachotsedwa ku chiŵerengero
mphindikusiyana kumawonjezedwa kwa ochotsedwa
subtrahendkusiyana kumachotsedwa ku minuend
chinthumankhwala amagawidwa ndi chinthu chodziwika
gawoliquotient imachulukitsidwa ndi wogawa
wogawagawoli limagawidwa ndi quotient

Zosankha zapamwamba

Pothetsa equation yovuta kwambiri ndi mtundu umodzi, nthawi zambiri ndikofunikira kuti muyambe kuyifewetsa musanapeze muzu. Njira zotsatirazi zingagwiritsidwe ntchito pa izi:

  • kutsegula mabatani;
  • kusamutsa zonse zosadziwika ku mbali imodzi ya chizindikiro "chofanana" (kawirikawiri kumanzere), ndi odziwika ku chimzake (kumanja, motsatira).
  • kuchepetsedwa kwa mamembala ofanana;
  • kumasulidwa ku tizigawo tating'ono;
  • kugawa mbali zonse ziwiri ndi coefficient ya zosadziwika.

Chitsanzo: kuthetsa equation (2x + 6) ⋅ 3 – 3x = 2 + x.

Anakonza

  1. Kukulitsa mabulaketi:

    6x + 18 – 3x = 2 + x.

  2. Timasamutsa zonse zosadziwika kumanzere, ndi zodziwika kumanja (musayiwale kusintha chikwangwani kuti chikhale chosiyana mukasamutsa):

    6x – 3x – x = 2 – 18.

  3. Tikuchepetsa mamembala ofanana:

    2x = -16.

  4. Timagawa magawo onse a equation ndi nambala 2 (coefficient of the osadziwika):

    x = 8.

Siyani Mumakonda