0:00:00.890,0:00:03.590
Wamkelekile kwicandelo lesibini lwentetho nge

0:00:03.590,0:00:05.660
"quadratic equation'.

0:00:05.660,0:00:08.470
Kulungile ndiyacinga ukuba ndinibhidekisile kwixesha elidlulileyo

0:00:08.470,0:00:11.170
ngoko ke mandijonge ukuba ndingayilunmgisa na lonto kancinci ngokwenza

0:00:11.170,0:00:12.770
imizekelwana eliqela.

0:00:14.765,0:00:15.430
Ngoko ke masiqale ngokujonga isishwakathelo sokuba yintoni

0:00:15.430,0:00:16.380
i'quadratic equation".

0:00:16.380,0:00:19.650
Ithi i"quadratic equation", ukuba ndizama ukusombulula

0:00:19.650,0:00:31.590
inxaki "Ax" ophindwe kabini dibanisa "Bx" dibanisa "C" lingana no 0, kwangoko i-

0:00:31.590,0:00:35.440
sisombululo oaknaye izisombululo ngoba ngokwesi qhelo zibambini

0:00:35.440,0:00:38.970
phinda-phinda lanto idibana kumgca osembndini ongu "x", okanye zimbini izisombululo

0:00:38.970,0:00:47.610
zalena inxaki ngu 'x' ulingana nothabatha 'B' dibanisa okanye thabatha ingcambu

0:00:47.610,0:00:56.390
ka 'B' ophindwe kabini thabatha 4 phinda-phinda 'A' phinda-phinda 'C'.

0:00:56.390,0:01:00.270
Kwaye yonke lonto uyibeka ngaphezu ko'2A'.

0:01:00.270,0:01:02.040
Ngoko ke masenze inxaki kwaye ndiyathemba lento ifanele ukwena

0:01:02.040,0:01:02.690
kancinci imvakalelo.

0:01:02.690,0:01:04.620
Ngu 2 ongezantsi.

0:01:04.620,0:01:13.890
Ngoko ke masithi bendinenxaki, thbatha '9x' ophindwe kabini thabatha

0:01:13.890,0:01:19.950
'9x' dibanisa 6 ilingana no0.

0:01:19.950,0:01:22.230
Ngoko ke lomzekelo ngubani u'A'?

0:01:22.230,0:01:25.410
Kulungile, 'A' ngumlingani ka 'x' ophindwe kabini.

0:01:25.410,0:01:29.820
Esi simeli u'x" ophindwekabini ulapha, umlingani wakhe ngu thabatha 9.

0:01:29.820,0:01:30.620
Ngoko ke masibhale lonto.

0:01:30.620,0:01:34.120
'A' lingana no thabatha 9.

0:01:34.120,0:01:35.400
Ulingana nabani u'B'?

0:01:35.400,0:01:39.180
'B' ngumlingane wesimeli u'x', ngoko ke esisimeli silaopha.

0:01:39.180,0:01:43.220
Ngoko ke u'B' ukwalingana no thabatha 9.

0:01:43.220,0:01:47.140
Kwaye u'C' sisimeli esingatshintshiyo, ngokwalomzekelo ngu6.

0:01:47.140,0:01:49.550
Ngoko ke 'C' ulingana no 6.

0:01:49.550,0:01:52.070
`Ngoku sizaku vela sitshintshe sifke lamanani kubuqu

0:01:52.070,0:01:53.260
be"quadratic equation".

0:01:53.260,0:01:59.600
Ngoko ke thabtha 'B', ngoko kengu thabatha phinda-phinda thabatha 9.

0:01:59.600,0:02:00.780
ngu 'B'.

0:02:00.780,0:02:08.110
Dibanisa okanye thabatha ingcambu ka'B' ephindwe kabini, ngoko ke ngu 81.

0:02:08.110,0:02:08.390
Akunjalo?

0:02:08.390,0:02:10.030
Thabatha 9 ophindwe kabini.

0:02:10.030,0:02:14.720
Thabahta 4 phinda-phinda ngo thabatha 9.

0:02:14.720,0:02:16.140
Ngu 'A'.

0:02:16.140,0:02:19.480
Phinda-phinda 'C', ngokucacileyo ngu 6.

0:02:19.480,0:02:23.950
Kwaye yonke lonto ibekwe ngaphezu ko 2 phinda-phinda ngo thabatha 9, ngokucacileyo

0:02:23.950,0:02:25.630
ngu thabatha 18, akunajalo/

0:02:25.630,0:02:26.720
2 umphinda-phinda ngo thabtha 9-- '2A'.

0:02:29.230,0:02:33.760
Masizame ukuyicazulula lento apha.

0:02:33.760,0:02:37.930
Kulungile, thabatha thabatha 9, ngudibanisa 9.

0:02:37.930,0:02:46.480
Dibanisa oakanye thabatha ingcambu ka 81.

0:02:46.480,0:02:47.900
Masibone.

0:02:47.900,0:02:50.270
Lento ngu thabatha 4 uphinda-phinda ngo thabatha 9.

0:02:50.270,0:02:53.470
Uthabatha 4 umphinda-phinde ngo thabatha 9 ngu dibanisa 36.

0:02:53.470,0:02:58.310
Kwaye kwangoko dibanisa 36 umphinda-phinde ngo 6 ngu--masibone.

0:02:58.310,0:03:01.330
30 umphinda-phinde ngo 6 ngu 180.

0:03:01.330,0:03:07.890
Kwaye kwangoko 180 dibanisa omnye u36 ngu 216.

0:03:07.890,0:03:10.980
Dibanisa 216, ilungile lanto/

0:03:10.980,0:03:14.490
180 dibanisa 36 ngu 216.

0:03:14.490,0:03:16.840
Yonke lanto uyibeke ngaphezu ko '2A'.

0:03:16.840,0:03:19.570
'2A' besesitshilo sathi ngu thabatha 19.

0:03:19.570,0:03:20.740
Ngoko ke cazulula lonto kakhulu.

0:03:20.740,0:03:28.090
Ngu 9 dibanisa okanye thabatha ingcambu ka 81 dibanisa 216.

0:03:28.090,0:03:30.400
Ngu 80 dibanisa 217.

0:03:30.400,0:03:38.040
Ngu 297.

0:03:38.040,0:03:41.900
Kwaye yonke lanto uyibhale ngaphezu ko thabatha 18.

0:03:41.900,0:03:45.020
Ngoku, lento ngqo ngu--elona candelo linzima nge "quadratic

0:03:45.020,0:03:47.720
equation" ngamaxesha ohlukeneyo vela ucazulule lento unayo.

0:03:47.720,0:03:50.860
Kufuneka sijonge phandle ukuba asinokwazi ukuyicazulula lento ngokugqibeleleyo.

0:03:50.860,0:03:53.090
Kulungile, masibone.

0:03:53.090,0:03:56.490
Indlela enye yokujonga lento phandle ukuba inani liyohluleka ngo 9 kuku

0:03:56.490,0:03:58.320
dibanisa gqo imivo kwaye sibone ukuba imivo

0:03:58.320,0:03:59.260
iyakwazi ukuhluleka ngo 9.

0:03:59.260,0:03:59.950
Kwelicandelo, ngu.

0:03:59.950,0:04:02.510
2 dibanisa 9 dibanisa 7 ilingana no 18.

0:04:02.510,0:04:04.600
Ngoko ke masibone ngamatyeli amangaphi u9 ayangawo kulanto.

0:04:04.600,0:04:07.150
Ndizakuyenza ecaleni apha, andifuni ukudakisa kakhulu.

0:04:07.150,0:04:09.450
9 umse ku 297.

0:04:13.630,0:04:16.190
3 umphinda-phinde ngo27.

0:04:16.190,0:04:19.040
27-- uya amatyeli ayi33, akunjalo?

0:04:19.040,0:04:24.290
Ngoko ke lento iyafana no 9 dibanisa okanye thabatha ingcambu

0:04:24.290,0:04:31.110
ka 9 uyiphinda-phinde ngo 33 thbabtha 18 ngaphantsi.

0:04:31.110,0:04:32.470
Kwaye 9 yeyona ngcambu yoqobo.

0:04:32.470,0:04:34.650
Yiyo lonto bendifuna ukubona ukuba u9 angasebenza ngoba

0:04:34.650,0:04:36.390
yeyona ndlela bendinokuphuma ngayo ngokugqibeleleyo, ukuba

0:04:36.390,0:04:37.390
yeyona ngcambu yokwenene.

0:04:37.390,0:04:40.410
Njengokuba ufundile kulamigaqo yezalathi kulam'miselo wokuqala.

0:04:40.410,0:04:46.140
Ngoko ke lento ilingana no 9 dibanisa oakanye thabatha 3ingcambu ka

0:04:46.140,0:04:53.230
33, kwaye yonke lanto ngaphezu ko thabatha 18.

0:04:53.230,0:04:54.570
Sesigqibile.

0:04:54.570,0:04:57.840
Singayicazulula ngoba 9,3 kunye nothabatha 18

0:04:57.840,0:05:00.650
zonke ziyahluleka ngo 3.

0:05:00.650,0:05:02.270
Masiyohlule yonke lanto ngo 3.

0:05:02.270,0:05:14.370
3 dibanisa okanye thabatha ingcambu ka33 ngaphezu ko thabatha 6.

0:05:14.370,0:05:15.610
Kwaye sigqibile.

0:05:15.610,0:05:17.010
Ngoko ke njengokuba ubona, eyonanto inzima nge "quadratic

0:05:17.010,0:05:20.110
equation" kukusuka nje qha ucazulule into oyinikiweyo.

0:05:20.110,0:05:22.750
Kodwa itno besiyithethile, ndiyayazi ungaba kanti uyilahlile indlela--senzile

0:05:22.750,0:05:27.120
yonke lento izibalo--njengokuba besitshilo, lenxaki: thabatha '9x'

0:05:27.120,0:05:30.550
ophindwe kabini thabatha '9x' dibanisa 6.

0:05:30.550,0:05:34.200
Ngoku sifumene amanani amabini amelwe ngu 'x' ezinokuyanelisa lenxaki

0:05:34.200,0:05:35.970
kwaye iyenze ilingane no 0.

0:05:35.970,0:05:39.830
Omnye u'x' ulingana no3 dibanisa ingcambu

0:05:39.830,0:05:42.100
ka 33 ngaphezulu dibanisa 6.

0:05:42.100,0:05:45.860
Kwaye elesibini ngu 3 thabatha incambu

0:05:45.860,0:05:50.160
ka 33 ngaphezulu thabatha 6.

0:05:50.160,0:05:52.250
kwaye ungafuna ukucinga ukuba kutheni sino

0:05:52.250,0:05:53.370
dibanisa okanye uthabatha.

0:05:53.370,0:05:55.490
Sinala dibanisa okanye thabatha ngoba ingcambu ingaba

0:05:55.490,0:05:59.550
gqo linani elidibanisayo okanye elithabathayo.

0:05:59.550,0:06:02.180
masenze enye inxaki.

0:06:02.180,0:06:05.890
Ngethemba lena ingaba lula kancinci.

0:06:09.210,0:06:16.780
Masithi ndifuna ukusombulula uthabatha '8x' ophindwe kabini

0:06:16.780,0:06:21.000
dibanisa '5x' dibanisa 9.

0:06:21.000,0:06:23.150
Ngoku ndizakuthatha ngathi siyinqayile i"quadratic

0:06:23.150,0:06:25.310
equation" ngoba yinto ekufanele uyenze.

0:06:25.310,0:06:26.630
Okanye ungayibhala phantsi kwiphwetsha.

0:06:26.630,0:06:31.630
Kodwa i"quadratic equation" ngu thabatha 'B'-- ngoko ke u'b' ngu 5,

0:06:31.630,0:06:34.160
Sizama ukuyisombulula ilingana no0, ngoko ke thabatha 'B'

0:06:34.160,0:06:39.790
Ngoko ke thabatha 5, dibanisa okanye thabatha ingcambu ka 'B' ophindwe kabini-

0:06:39.790,0:06:44.030
ngu 5 ophindwe kabini, 25.

0:06:44.030,0:06:50.470
Thabatha 4 umphinda-phinde ngo 'A', ngoklucacileyo nguthabatha 8.

0:06:50.470,0:06:53.820
Phinda-phinda ngo 'C', ngolkucacileyo ngu 9.,

0:06:53.820,0:06:56.400
Kwaye yonke lonto ingaphezulu kuka 2 umphinda-phinde ngo 'A'.

0:06:56.400,0:07:00.320
Kulungile, 'A' ngu thabatha 8, ngoko ke yonke lanto uyibeke ngaphezu kuka thabatha 16.

0:07:00.320,0:07:04.090
Ngoko ke masicazulule lento sinayo apha.

0:07:04.090,0:07:09.440
Kulungile, ilingana no thabatha 5 dibanisa oakanye thabatha

0:07:09.440,0:07:13.630
ingcambu ka 25.

0:07:13.630,0:07:14.620
Makheibone.

0:07:14.620,0:07:18.220
4 umphinda-phinde ngo 8 ngu 32 kwaye uthabatha uyaphuma ngaphandle, ngoko ke

0:07:18.220,0:07:21.520
ngu dibanisa 32 phinda-phinda 9.

0:07:21.520,0:07:24.480
Dibanisa 32 umphinda-phinde ngo 9, makhe sibone.

0:07:24.480,0:07:26.720
30 umphinda-phinde ngo 9 ngu 270.

0:07:26.720,0:07:31.110
Ngu 288.

0:07:31.110,0:07:31.570
Ndiyacinga.

0:07:31.570,0:07:31.800
Kunjalo?

0:07:36.130,0:07:37.490
288.

0:07:37.490,0:07:40.590
Sinayo yonke lanto ngaphezulu ku thabatha 16.

0:07:40.590,0:07:42.560
Ngoku yicazulule kakhulu.

0:07:42.560,0:07:47.760
Thabatha 5 dibanisa oakanye thabatha ingcambu--25 dibanisa

0:07:47.760,0:07:51.340
288 ngu 313 ndiyakholelwa.

0:07:56.950,0:08:00.230
`Kwaye yonke lanto ingaphezulu kuka thabatha 16.

0:08:00.230,0:08:03.430
Kwaye ndiyacinga, andikho 100% ngokuqinisekileyo, nangona ndiqinisekile.

0:08:03.430,0:08:04.570
Khange diyitshekitshe.

0:08:04.570,0:08:10.370
Laa 313 akasoze abe linani elingenayo kuphinda-phindo lwe

0:08:10.370,0:08:11.690
ngcambu yoqobo kwaye nelinye inani.

0:08:11.690,0:08:13.670
Ngokom'miselo, ingaba linani lodidi lokuqala.

0:08:13.670,0:08:15.600
Ngeyo nanto onokufuna ukuyijonga.

0:08:15.600,0:08:18.200
Ngoko ke ukuba leyo yindlela kwaye siyifumene ngokupheleleyo

0:08:18.200,0:08:21.840
ngendlela ecaulweyo, kwaye sathi simbini izisombululo, mabini

0:08:21.840,0:08:24.940
amanani amlwe ngu 'x' anokwena inxaki ibe yinyaniso.

0:08:24.940,0:08:30.750
Elinye lawo ngu 'x' ulingana no thabatha 5 dibanisa

0:08:30.750,0:08:35.830
ingcambu ka 313 ngaphezulu ko thabatha 16.

0:08:35.830,0:08:44.110
Kwaye enye ingcambu ngu 'x' ulingana no thabatha 5 thabatha

0:08:44.110,0:08:49.660
ingcambu ka 313 ngaphezulu ka thabatha 16.

0:08:49.660,0:08:51.760
Ngethemba yomibini lemizekelo izakunika imvakalelo elungilelo

0:08:51.760,0:08:53.940
ngendlela yokusebenzisa i"quadratic equaton'.

0:08:53.940,0:08:55.860
Ndinga dibanisa emininzi imiyalelo eqinqiweyo.

0:08:55.860,0:08:58.230
Kwaye kwangoko, ukubalasela kwakho kulento, ndizakufundisa ungeza njani

0:08:58.230,0:09:00.370
ukusombulula i"quadratic equation' xa ufumana amanani athabathayo

0:09:00.370,0:09:01.910
ngokugqibeleleyo.

0:09:01.910,0:09:03.140
Inikisa umdla kakhulu.

0:09:03.140,0:09:06.760
Ngenye indlela, ndiyathemba ungenza imimiselo eqinqiweyo kwaye mhlawumbi ndizakudibanisa

0:09:06.760,0:09:10.370
ezimbalwa ubuninzi intetho ngoba lona akalulanga kwaphela lomlinganiso.

0:09:10.370,0:09:11.840
Ndiyathemba ukuba ubuyo nwabele.

0:09:11.840,0:09:13.140
Kulungile.