Dab tsi yog qhov sib npaug: txhais, daws, piv txwv

Hauv kev tshaj tawm no, peb yuav saib seb qhov sib npaug yog dab tsi, nrog rau qhov nws txhais tau li cas los daws nws. Cov ntaub ntawv theoretical nthuav tawm yog nrog rau cov piv txwv ua kom nkag siab zoo dua.

Equation txhais

Txoj kab zauv yog, muaj tus lej tsis paub yuav pom.

Tus lej no feem ntau yog sau los ntawm tsab ntawv Latin me me (feem ntau - x, y or z) thiab hu ua kuj sib txawv thiab kev sib npaug.

Hauv lwm lo lus, kev sib npaug yog qhov sib npaug tsuas yog tias nws muaj tsab ntawv uas koj xav suav nrog.

Piv txwv ntawm qhov sib npaug yooj yim (ib qho tsis paub thiab ib qho kev ua lej lej):

• x + 3 = 5
• thiab – 2 = 12
• z+10 = 41

Nyob rau hauv ntau qhov sib npaug, qhov sib txawv yuav tshwm sim ntau zaus, thiab lawv kuj yuav muaj cov kab lus thiab ntau txoj haujlwm ua lej. Piv txwv li:

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

Tsis tas li ntawd, tuaj yeem muaj ntau qhov sib txawv hauv qhov sib npaug, piv txwv li:

• x + 2y = 14
• (x – y) 2 + 2z = 5

Lub hauv paus ntawm kev sib npaug

Wb hais tias peb muaj ib qho kev sib npaug 2 x + 6 = 16.

Nws hloov mus rau hauv kev sib npaug tiag tiag thaum x = 5 os. Qhov no tus nqi (tus naj npawb) yog lub hauv paus ntawm kev sib npaug.

daws qhov sib npaug - qhov no txhais tau tias nrhiav nws cov hauv paus hniav lossis cov hauv paus hniav (nyob ntawm seb muaj pes tsawg tus hloov pauv), lossis ua pov thawj tias lawv tsis muaj.

Feem ntau, lub hauv paus yog sau li no: x = 3 os. Yog tias muaj ob peb lub hauv paus, lawv tsuas yog teev cais los ntawm commas, piv txwv li: x₁ = 2, x₂ = -5.

Sau ntawv:

1. Qee qhov sib npaug yuav daws tsis tau.

Piv txwv li: 0x = 7. Txawm tus naj npawb twg peb hloov rau x, nws yuav tsis ua hauj lwm kom tau qhov tseeb kev sib npaug. Hauv qhov no, cov lus teb yog: "kev sib npaug tsis muaj keeb kwm."

2. Qee qhov sib npaug muaj cov hauv paus tsis kawg.

Piv txwv li: thiab = thiab. Hauv qhov no, qhov kev daws teeb meem yog ib tus lej, piv txwv li x ∈ R, x ∈ Z, x ∈ NQhov twg N, Z и R yog natural, integer thiab tiag cov lej, feem.

Sib npaug sib npaug

Qhov sib npaug uas muaj cov hauv paus hniav zoo ib yam yog hu ua tantamount rau.

Piv txwv li: x + 3 = 5 и 2 x + 4 = 8. Rau ob qho kev sib npaug, qhov kev daws teeb meem yog qhov thib ob, piv txwv li x = 2 os.

Basic sib npaug transformations ntawm equations:

1. Kev hloov ntawm qee lub sij hawm los ntawm ib feem ntawm qhov sib npaug mus rau lwm qhov nrog kev hloov pauv ntawm nws cov cim rau qhov tsis sib xws.

Piv txwv li: 3 x + 7 = 5 tantamount rau 3x + 7 - 5 = 0.

2. Kev sib faib / faib ntawm ob feem ntawm qhov sib npaug los ntawm tib tus lej, tsis sib npaug rau xoom.

Piv txwv li: 4 x – 7 = 17 tantamount rau 8 x – 14 = 34.

Qhov sib npaug kuj tsis hloov yog tias tib tus lej ntxiv / rho tawm rau ob sab.

3. Txo cov ntsiab lus zoo sib xws.

Piv txwv li: 2 x + 5x + 6 = 2 tantamount rau 7 x – 18 = 0.