klws : nOvINklws : nOvIN

AiDAwie : nOvWAiDAwie : nOvW

ie`k cl vwly GwqI ie`k cl vwly GwqI smIkrxsmIkrx

AnU FWfwAnU FWfwmYQ imstYRs mYQ imstYRs

s.s.s.skUl, mnsUrWs.s.s.skUl, mnsUrW

• smIkrx kI hY ?smIkrx kI hY ?

• ie`k GwqI smIkrx kI hY ?ie`k GwqI smIkrx kI hY ?

• smIkrx h`l krn dy inXmW bwry d`so?smIkrx h`l krn dy inXmW bwry d`so?

• sQwn pirvrqn kI hY?sQwn pirvrqn kI hY?

• ie`k cl vwlI GwqI smIkrx Aqy do GwqI ie`k cl vwlI GwqI smIkrx Aqy do GwqI smIkrn iv`c kI AMqr hY? smIkrn iv`c kI AMqr hY?

smIkrx ie`k AijhI smwnqw nUM ikhw jWdw hY ijs smIkrx ie`k AijhI smwnqw nUM ikhw jWdw hY ijs iv`c ie`k jW v`D AigAwq rwSIAW AwaudIAW iv`c ie`k jW v`D AigAwq rwSIAW AwaudIAW hox, iehnW rwSIAW nMU cl ikhw jWdw hY [hox, iehnW rwSIAW nMU cl ikhw jWdw hY [

jdoN iksy smIkrx iv`c kyvl ie`l hI cl hovy Aqy ies jdoN iksy smIkrx iv`c kyvl ie`l hI cl hovy Aqy ies cl dI Gwq 1 hovy qW Aijhw smIkrx ie`k cl vwlw cl dI Gwq 1 hovy qW Aijhw smIkrx ie`k cl vwlw smIkrx khwauNdw hY[smIkrx khwauNdw hY[

ie`k cl vwlw smIkrx ies qrHW dw huMdw hY[

ieh ryKI smIkrx dw h`l hY[

audwhrx dy qOr qy:ax+ b =0

Ax = - b

X =ba

cl dw ie`k Aijhw mu`l , ijhVw vwsqivk sMiKAw dy rUp

iv`c hovy Aqy ijs nwl smIkrx dy dovyN pwsy brwbr ho

jwx, smIkrx dw h`l AKvwauNdw hY[

audwhrx leI

smIkrx 3x+4 =−5 iv`c

•jdoN AsIN x dI QW qy -3 lYNdy hW qW, swnUM pRwpq

huMdw hY

•K`bw pwsw = 3(-3)+4= -9 +4 = -5 = s`jw pwsw

•ikauNik x=-3 leI K`bw pwsw = s`jw pwsw (-5) hn,

•ies leI ‘-3’ smIkrx 3x+4=-5 dw h`l hY[

smIkrx dw h`l pqw krn leI hyT ilKy smIkrx dw h`l pqw krn leI hyT ilKy inXmW dI vrqoN kIqI jWdI hY[inXmW dI vrqoN kIqI jWdI hY[

* ie`ko ijhI rwSI nUM dovyN pwsy joVn qy smwnqw nhIN bdldI[

* ie`ko ijhI rwSI nUM dovyN pwsy qoN Gtwaux qy smwnqw nhIN bdldI[

* ie`ko ijhI rwSI (≠ 0 nw isPr) duAwrw dovyN pwisAW nUM guxw krn qy smwnqw nhIN bdldI[

* ie`ko ijhI rwSI (≠ 0 nw isPr) duAwrw dovyN pwisAW nUM Bwg krn qy smwnqw nhIN bdldI[

sQwn pirvrqxsQwn pirvrqx

* ie`k pwsy qoN ie`k pd AidRSt ho ky dUsry

pwsy bdly hoey icMnHW nwl jdoN pRgt hovy

qW ies ikirAw nUM sQwn pirvrqx kihMdy hn[

audwhrx 1: smIkrx 5x +9 = 2x + 21 nUM h`l

kro[

h```````l: swnUM id`qw hY:*5x+9= 2x + 21

*5x+9+(-9)=2x+21+(-9) dovyN pwisAW iv`c -9 joVn qy*5x=2x+12

*5x-2x=2x+12-2x [dovyN pwsy 2x Gtwaux qy]*3x =12

*x=4 [ dovy pwsy 1/3 nwl guxw krn qy]ies leI, x=4 id`qy gey smIkrx dw h`l hY[

•audwhrx:-• 3x-2=0 iv`c x dw mu`l pqw kro?

3x-2=0

3x=2

X = 32

DMnvwDMnvwdd