Kodi equation ndi chiyani: tanthauzo, yankho, zitsanzo

M'buku lino, tiwona kuti equation ndi chiyani, komanso tanthauzo lake kuthetsa. Chidziwitso changongole choperekedwa chimatsagana ndi zitsanzo zothandiza kuti timvetsetse bwino.

Timasangalala

Tanthauzo la equation

The equation ndi , yomwe ili ndi nambala yosadziwika yomwe ingapezeke.

Nambala iyi nthawi zambiri imatanthauzidwa ndi chilembo chaching'ono chachilatini (nthawi zambiri - x, y or z) ndipo amatchedwa kusintha equations.

Mwa kuyankhula kwina, kufanana ndi equation pokhapokha ngati ili ndi chilembo chomwe mukufuna kuwerengera mtengo wake.

Zitsanzo za ma equation osavuta (ntchito imodzi yosadziwika ndi masamu):

  • x +3 = 5
  • ndi 2 = 12
  • z + 10 = 41

Mu ma equation ovuta kwambiri, kusinthasintha kumatha kuchitika kangapo, ndipo kungakhalenso ndi mabatani ndi masamu ovuta kwambiri. Mwachitsanzo:

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

Komanso, pakhoza kukhala mitundu ingapo mu equation, mwachitsanzo:

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

Muzu wa equation

Tinene kuti tili ndi equation 2x + 6 = 16.

Zimasanduka kufanana kwenikweni pamene x = 5. Mtengo uwu (nambala) ndi muzu wa equation.

Konzani equation - izi zikutanthauza kupeza mizu yake kapena mizu (malingana ndi chiwerengero cha zosinthika), kapena kutsimikizira kuti kulibe.

Kawirikawiri, mizu imalembedwa motere: x = 3. Ngati pali mizu ingapo, amangotchulidwa olekanitsidwa ndi makoma, mwachitsanzo: x1 = 2, x2 =-5.

Ndemanga:

1. Ma equation ena satha kutheka.

Mwachitsanzo: 0 x = 7. Nambala iliyonse yomwe titha kusintha x, sizingagwire ntchito kuti mupeze kufanana koyenera. Pankhaniyi, yankho ndi: "equation ilibe mizu."

2. Ma equation ena ali ndi mizu yopanda malire.

Mwachitsanzo: ndi = ndi. Pankhaniyi, yankho ndi nambala iliyonse, mwachitsanzo x ndi R, x ndi Z, x ∈ NKodi N, Z и R manambala achilengedwe, athunthu komanso enieni, motsatana.

Zofanana Zofanana

Ma equation omwe ali ndi mizu yofanana amatchedwa mofanana ndi.

Mwachitsanzo: x +3 = 5 и 2x + 4 = 8. Pa ma equation onse awiri, yankho ndi nambala yachiwiri, mwachitsanzo x = 2.

Kusintha kofanana kwa ma equation:

1. Kusintha kwa liwu lina kuchokera ku gawo lina la equation kupita ku lina ndi kusintha kwa chizindikiro chake kupita ku mbali ina.

Mwachitsanzo: 3x + 7 = 5 mofanana ndi 3x + 7 – 5 = 0.

2. Kuchulukitsa / kugawa magawo onse a equation ndi nambala yofanana, osati yofanana ndi ziro.

Mwachitsanzo: 4x - 7 = 17 mofanana ndi 8x - 14 = 34.

Equation nayonso sisintha ngati nambala yomweyi ikuwonjezedwa/kuchotsedwa mbali zonse ziwiri.

3. Kuchepetsa mawu ofanana.

Mwachitsanzo: 2x + 5x – 6 + 2 = 14 mofanana ndi 7x - 18 = 0.

Siyani Mumakonda