5 Txoj Hauv Kev Nrhiav Tus Nqi ntawm X

2024 Tus sau: Jason Gerald | [email protected]. Kawg hloov kho: 2024-01-15 08:16

Muaj ntau txoj hauv kev los nrhiav tus nqi ntawm x, txawm tias koj tab tom ua haujlwm nrog cov plaub fab thiab cov hauv paus lossis yog tias koj tsuas yog faib lossis sib npaug. Tsis muaj teeb meem txheej txheem twg koj siv, koj ib txwm tuaj yeem nrhiav txoj hauv kev txav x mus rau ib sab ntawm qhov sib npaug kom koj tuaj yeem pom nws tus nqi. Nov yog yuav ua li cas:

Kauj ruam

Txoj Kev 1 ntawm 5: Siv Yooj Yim Tawm Kab Sib Piv

Kauj Ruam 1. Sau qhov teeb meem, zoo li no:

2²(x + 3) + 9 - 5 = 32

Kauj Ruam 2. Daws cov xwm txheej

Nco ntsoov qhov kev txiav txim ntawm tus lej ua haujlwm pib los ntawm kab lus, plaub fab, sib npaug/faib, thiab ntxiv/rho tawm. Koj tsis tuaj yeem ua tiav cov kab ntawv ua ntej vim tias x nyob hauv kab zauv, yog li koj yuav tsum pib nrog lub xwmfab, 2². 2² = 4

4 (x + 3) + 9 - 5 = 32

Kauj Ruam 3. Sib npaug

Muab tus lej 4 los (x + 3). Nov yog li cas:

4x + 12 + 9 - 5 = 32

Kauj Ruam 4. Ntxiv thiab rho tawm

Tsuas yog ntxiv lossis rho tus lej ntxiv, zoo li no:

• 4x+21-5 = 32
• 4x+16 = 32
• 4x + 16 - 16 = 32 - 16
• 4x = 16

Kauj Ruam 5. Nrhiav tus nqi ntawm qhov sib txawv

Txhawm rau ua qhov no, faib ob sab ntawm qhov sib npaug ntawm 4 txhawm rau nrhiav x. 4x/4 = x and 16/4 = 4, so x = 4.

• 4x/4 = 16/4
• x = 4x

Kauj Ruam 6. Txheeb xyuas koj qhov kev suav

Plug x = 4 rau hauv thawj qhov sib npaug kom ntseeg tau tias qhov txiaj ntsig raug, zoo li no:

• 2²(x+ 3)+ 9 - 5 = 32
• 2²(4+3)+ 9 - 5 = 32
• 2²(7) + 9 - 5 = 32
• 4(7) + 9 - 5 = 32
• 28 + 9 - 5 = 32
• 37 - 5 = 32
• 32 = 32

Txoj Kev 2 ntawm 5: Los ntawm Square

Kauj Ruam 1. Sau qhov teeb meem

Piv txwv li, xav tias koj tab tom sim daws teeb meem nrog qhov sib txawv x sib npaug:

2x ua² + 12 = 44

Kauj Ruam 2. Sib cais cov lej sib txawv

Thawj qhov koj yuav tsum tau ua yog ua ke cov hloov pauv kom txhua qhov sib npaug sib txawv nyob ntawm sab xis ntawm qhov sib npaug thaum cov lej sib txawv nyob ntawm sab laug. Rho tawm ob sab los ntawm 12, zoo li no:

• 2x ua²+12-12 = 44-12
• 2x ua² = 32

Kauj Ruam 3. Sib cais cov lej sib txawv los ntawm kev faib ob sab los ntawm qhov sib npaug ntawm qhov sib txawv x

Hauv qhov no 2 yog qhov sib npaug ntawm x, yog li faib ob sab ntawm qhov sib npaug los ntawm 2 kom tshem tawm nws, zoo li no:

• (2x ib²)/2 = 32/2
• x kev² = 16

Kauj Ruam 4. Nrhiav lub hauv paus cag ntawm ob sab ntawm kab zauv

Tsis txhob cia li pom lub hauv paus ntawm x², tab sis pom cov hauv paus cuav ntawm ob sab. Koj yuav tau txais x ntawm sab laug thiab lub hauv paus square ntawm 16, uas yog 4 ntawm sab xis. Yog li, x = 4.

Kauj Ruam 5. Txheeb xyuas koj qhov kev suav

Plug x = 4 rov qab rau hauv koj qhov kev ua zauv qub kom ntseeg tau tias qhov txiaj ntsig raug. Nov yog li cas:

• 2x ua² + 12 = 44
• 2 x (4x)² + 12 = 44
• 2 x 16 + 12 = 44
• 32 + 12 = 44
• 44 = 44

Txoj Kev 3 ntawm 5: Siv Fractions

Kauj Ruam 1. Sau qhov teeb meem

Piv txwv li, koj xav daws cov lus nug hauv qab no:

(x + 3)/6 = 2/3

Kauj Ruam 2. Hla hla

Txhawm rau hla kev sib npaug, sib npaug tus lej ntawm txhua feem los ntawm tus lej ntawm lwm feem. Hauv ntej, koj muab nws sib npaug. Yog li, sib npaug thawj tus lej, 6, los ntawm qhov thib ob, 2, yog li koj tau txais 12 ntawm sab xis ntawm kab zauv. Muab tus lej thib ob sib npaug, 3, los ntawm thawj, x + 3, yog li koj tau txais 3 x + 9 ntawm sab laug ntawm kab zauv. Nov yog li cas:

• (x + 3)/6 = 2/3
• 6 x 2 = 12 po
• (x + 3) x 3 = 3x + 9
• 3 x + + 12 = 12 - 4x

Kauj Ruam 3. Muab cov kev hloov pauv tib yam

Muab cov lej nyob hauv kab zauv rho tawm ob sab ntawm qhov kev ua zauv los ntawm 9, zoo li no:

• 3x + 9 - 9 = 12 - 9
• 3 x = 4x

Kauj Ruam 4. Sib cais x los ntawm faib txhua sab los ntawm coefficient ntawm x

Faib 3x thiab 9 los ntawm 3, qhov sib npaug ntawm x, kom tau txais tus nqi x. 3x/3 = x thiab 3/3 = 1, yog li x = 1.

Kauj Ruam 5. Txheeb xyuas koj qhov kev suav

Txhawm rau txheeb xyuas, ntsaws x rov qab rau hauv qhov sib npaug qub kom paub tseeb tias qhov txiaj ntsig tau raug, zoo li no:

• (x + 3)/6 = 2/3
• (1 + 3)/6 = 2/3
• 4/6 = 2/3
• 2/3 = 2/3

Txoj Kev 4 ntawm 5: Siv Square Roots

Kauj Ruam 1. Sau qhov teeb meem

Piv txwv li, koj yuav pom tus nqi x hauv qhov sib npaug hauv qab no:

(2x+9) - 5 = 0

Kauj Ruam 2. Cais cov hauv paus cag

Koj yuav tsum txav cov hauv paus plaub fab mus rau lwm sab ntawm qhov sib npaug ua ntej koj tuaj yeem txuas ntxiv mus. Yog li, koj yuav tsum ntxiv ob sab ntawm qhov sib npaug los ntawm 5, zoo li no:

• (2x + 9) - 5 + 5 = 0 + 5
• (2x+9) = 5

Kauj Ruam 3. Ua ob sab

Ib yam li koj faib ob sab ntawm qhov kev ua zauv los ntawm coefficient x, koj yuav tsum square ob tog yog x tshwm nyob rau hauv lub hauv paus cag. Qhov no yuav tshem qhov kos npe (√) los ntawm kab zauv. Nov yog li cas:

• (√ (2x+9))² = 5²
• 2 x + + 4x = 25

Kauj Ruam 4. Muab cov kev hloov pauv tib yam

Ua ke cov kev hloov pauv ib yam los ntawm kev faib ob sab los ntawm 9 kom tag nrho cov nyob ruaj khov nyob ntawm sab xis ntawm qhov sib npaug thiab x nyob ntawm sab laug, zoo li no:

• 2x + 9 - 9 = 25 - 9
• 4x = 16

Kauj Ruam 5. Sib cais qhov sib txawv

Qhov kawg uas koj yuav tsum ua txhawm rau nrhiav tus nqi x yog cais qhov sib txawv los ntawm kev faib ob sab ntawm qhov sib npaug los ntawm 2, qhov sib npaug ntawm qhov sib txawv x. 2x/2 = x thiab 16/2 = 8, yog li x = 8.

Kauj Ruam 6. Txheeb xyuas koj qhov kev suav

Rov sau tus lej 8 hauv kab zauv kom pom tias koj cov lus teb raug lawm:

• (2x+9) - 5 = 0
• √(2(8)+9) - 5 = 0
• √(16+9) - 5 = 0
• √(25) - 5 = 0
• 5 - 5 = 0

Txoj Kev 5 ntawm 5: Siv Cov Cim Tsis Zoo

Kauj Ruam 1. Sau qhov teeb meem

Piv txwv li, xav tias koj tab tom sim nrhiav tus nqi x los ntawm cov kab zauv hauv qab no:

4x +2 | -6 = 8

Kauj Ruam 2. Cais qhov kos npe tsis meej

Thawj qhov koj yuav tsum tau ua yog sib xyaw cov lej sib txawv thiab txav qhov sib txawv sab hauv qhov kos npe mus rau lwm sab. Hauv qhov no, koj yuav tsum ntxiv ob sab los ntawm 6, zoo li no:

• 4x +2 | -6 = 8
• 4x +2 | 6 + 6 = 8 + 6
• 4x +2 | = 14

Kauj Ruam 3. Tshem qhov kos npe tsis tseeb thiab daws qhov sib npaug Qhov no yog thawj zaug thiab yooj yim tshaj plaws

Koj yuav tsum pom tus nqi ntawm x ob zaug thaum xam tus nqi meej. Nov yog thawj txoj hauv kev:

• 4x + 2 = 14
• 4x + 2 - 2 = 14 -2
• 4x = x 12
• x = 3 os

Kauj Ruam 4. Tshem qhov kos npe tsis tseeb thiab hloov lub cim ntawm qhov sib txawv ntawm lwm sab ua ntej ua tiav

Tam sim no, ua nws dua, tshwj tsis yog cia ob sab ntawm qhov sib npaug yog -14 tsis yog 14, zoo li no:

• 4x + 2 = -14
• 4x + 2 - 2 = -14 - 2
• 4x = 16
• 4x/4 = -16/4
• x = -4

Kauj Ruam 5. Txheeb xyuas koj qhov kev suav

Yog tias koj twb paub tias x = (3, -4), ntsaws ob tus lej rov qab rau hauv qhov sib npaug kom pom tias qhov txiaj ntsig raug, zoo li no:

• (Rau x = 3):

  • 4x +2 | -6 = 8
  • |4(3) +2| - 6 = 8
  • |12 +2| - 6 = 8
  • |14| - 6 = 8
  • 14 - 6 = 8
  • 8 = 8

• (Rau x = -4):

  • 4x +2 | -6 = 8
  • |4(-4) +2| - 6 = 8
  • |-16 +2| - 6 = 8
  • |-14| - 6 = 8
  • 14 - 6 = 8
  • 8 = 8

Lub tswv yim

• Lub hauv paus square yog lwm txoj hauv kev piav qhia lub xwmfab. Lub hauv paus square ntawm x = x^1/2/2.
• Txhawm rau txheeb xyuas koj cov lej, ntsaws tus nqi x rov qab rau hauv qhov qub kev ua zauv thiab daws.