0:00:00.870,0:00:03.610
Wmakelekile kumboniso yogqibezelo lesi kwere.

0:00:03.610,0:00:04.440
Yinto igqebezelo lwesi kwere?

0:00:04.440,0:00:06.740
Kulungile, yindlela yokusombulula i'quadratic equation".

0:00:06.740,0:00:09.700
Kwaye gqo, mandibhale phantsi i"quadratic equation', kwaye

0:00:09.700,0:00:11.570
kangoko ndzakubonisa kugqityezelwa njani isikwere.

0:00:11.570,0:00:13.460
Kwaye kangaoko sizakwenza omnye umzekelo, kwaye kwangako mhlawumbi singathetha

0:00:13.460,0:00:16.650
kancinci kutheni ibizwa ngokuba lugqibezelo lwesi kwere.

0:00:16.650,0:00:27.770
Ngoko ke masithi sinale nxaki: 'x' ophindwe kabini dibanisa '16x'

0:00:27.770,0:00:32.600
thabatha 57 ilingana no 0.

0:00:32.600,0:00:36.130
Ngoko ke zintoni izixhobo zethu kwizixhobo zethu apha

0:00:36.130,0:00:36.970
esinokuzisebenzisa ukusombulula lento?

0:00:36.970,0:00:38.570
Kulungile, singazama ukuyihlenga-hlengisa lento phandle.

0:00:38.570,0:00:41.770
Singathi, ngawaphi amanani othi uwadibanisa akunike u16, kwaye kangoko xa u-

0:00:41.770,0:00:44.060
uwaphinda-phinda akunike uthabatha 57?

0:00:44.060,0:00:45.450
Kwaye kuzakufuneka ucinge nayo kancinci.

0:00:45.450,0:00:47.360
Kwaye ungafumana onke amanani, kodwa awuka

0:00:47.360,0:00:49.050
qiniseki ukuba akhona amanani amabini apheleleyo angasebenza

0:00:49.050,0:00:49.540
nje kanjalo.

0:00:49.540,0:00:50.630
Kulenxaki akhona.

0:00:50.630,0:00:53.510
Kodwa uyazi kanjani, ngamanye amaxesha impendulo linani lesishumi

0:00:53.510,0:00:54.190
kwaye awuyazi lonto.

0:00:54.190,0:00:58.150
Ngoko ke, ngaxashanye ongahlenga-hlengisa kuxa uqinisekile ukuba

0:00:58.150,0:01:01.000
ungahlenga-hlengisa ngokwe ndlela yamanani apheleleyo.

0:01:01.000,0:01:03.620
Uyayazi, 'x' dibanisa inani elipheleleyo okanye 'x' thabatha elinye nje inani elipheleleyo

0:01:03.620,0:01:05.920
phinda-phinda, uyayazi, 'x' dibanisa namanye nje amanani apheleleyo.

0:01:05.920,0:01:06.990
Okanye njengesi qhelo.

0:01:06.990,0:01:09.240
Enye indlela kukwenza i"quadratic equation".

0:01:09.240,0:01:11.420
Kwaye into esiyenzayo ukubona yi"quadratic equation"

0:01:11.420,0:01:15.510
yindlela lanje imfutshane yokugqibezela isikwere.

0:01:15.510,0:01:18.410
I"quadratic equation" iyakwazeka ukuhlolwa ngokosebenzisa

0:01:18.410,0:01:19.420
ukugqibezela isikwere.

0:01:19.420,0:01:21.420
Ngoko ke yinto ukugqibezela isikwere?

0:01:21.420,0:01:23.340
Ngoko ke senza ntoni/

0:01:23.340,0:01:27.080
Kulungile, phambi kokuba siqubele kulomboniso masibone kwenzeka ntoni

0:01:27.080,0:01:30.930
xa ndiphinda-phinda inxaki ethile.

0:01:30.930,0:01:33.220
Mandiyenze phantsi apha.

0:01:33.220,0:01:40.250
Ngubani u'x' dibanisa 'a', uba phinda-phinde kabini.

0:01:40.250,0:01:50.940
Kulungile ilingana no 'x' ophindwe kabini dibanisa '2ax' dibanisa 'a' ophindwe kabini.

0:01:50.940,0:01:51.680
Kulungile.

0:01:51.680,0:01:55.420
Ngoko ke ukuba uabona nantoni na engalendlela, kufanele wazi

0:01:55.420,0:01:57.740
'x' dibanisa lonto ephindwe kabini.

0:01:57.740,0:02:01.040
Ngoko ke ibingazo bandle ukuba khange sinyanzele lenxaki

0:02:01.040,0:02:05.900
ngoko ke singayibhala ngalendlela 'x' dibanisa 'a' ophindwe kabini lingana nantoni,

0:02:05.900,0:02:08.140
kwaye kwangoko singathatha ingcambu?

0:02:08.140,0:02:11.580
Kwaye into esizakuyenza yile, gqo, yenza nje lonto.

0:02:11.580,0:02:13.090
Kwaye kukugqibezela isikwere.

0:02:13.090,0:02:15.010
Ngoko ke, mandikunike umzekelo.

0:02:15.010,0:02:16.515
Ndicinga umzekelo angayenza ibonakale ncono.

0:02:16.515,0:02:17.620
Mandibiyele lento phaya.

0:02:17.620,0:02:19.310
Lento yile kufuneka uyikhumbule.

0:02:19.310,0:02:22.130
Lento yonke ngumgaqo siseko oxhasa ukugqibezela isikwere--

0:02:22.130,0:02:25.650
ukufumana inxaki ibe ngoluhlobo, kwicala elinye

0:02:25.650,0:02:27.940
lenxaki, kwaye ube nenani kwelinye icala, ngoko ke

0:02:27.940,0:02:31.210
ungathatha ingcambu macala.

0:02:31.210,0:02:32.000
ngoko ke masibone.

0:02:32.000,0:02:33.970
Ekuqaleni, masiqale sijonge ukuba lento ayi

0:02:33.970,0:02:35.020
sosi kwere esigqibeleleyo.

0:02:35.020,0:02:39.700
Ukuba bekunjalo, umlinane bezakulingana no '2a'

0:02:39.700,0:02:40.470
kunjalo/

0:02:40.470,0:02:44.440
Ngoko ke 'a' bezakuba ngu 8, kwaye kwangoko lento ibizakuba ngu 64.

0:02:44.440,0:02:48.270
Lento icacile ayingo 64, ngoko ke lento ilapha ayi

0:02:48.270,0:02:50.840
phindwanga ngokuchazwa.

0:02:50.840,0:02:51.680
Ngoko ke, singenza ntoni/

0:02:51.680,0:02:55.990
Kulungile mandahlukane no 57 ndimahlule ngo 57 macala

0:02:55.990,0:02:57.200
ale nxaki.

0:02:57.200,0:03:07.550
Ngoko ke ndizakufumana 'x' ophindwe kabini dibanisa '16x' lingana no 57.

0:03:07.550,0:03:11.470
Yonke into endiyenzileyo ndidibanise 57 macala omabini alenxaki.

0:03:11.470,0:03:16.300
Ngoku yintoni itno endinokuyidibanisa ukuze lento, icala lasekhohlo

0:03:16.300,0:03:21.480
lalenxaki, lingaba liyaphindeka kabini

0:03:21.480,0:03:24.820
nje ngo 'x' dibanisa 'a'?

0:03:24.820,0:03:28.790
Ukuba uyalandela lomfuziselo pahntsi apha, sino 'x' ophindwe kabini

0:03:28.790,0:03:37.880
dibanisa '2ax'--ngoko ke ungayibona lento apha inje ngo '2ax'.

0:03:37.880,0:03:39.090
Akunjalo?

0:03:39.090,0:03:40.900
Ngu '2ax'.

0:03:40.900,0:03:43.520
Kwaye kwangoko kufuneka sidibanise 'a' ophindwe kabini kuyo.

0:03:43.520,0:03:44.040
Kunjalo/

0:03:44.040,0:03:46.300
Dibanisa 'a' ophindwe kabini.

0:03:46.300,0:03:48.010
Kwaye kwangoko sizakuba nendlela apha.

0:03:48.010,0:03:50.510
Kodwa siyayazi ukusukela kwamaqalela e"Algebra" ukuba nantoni na oyenzayo

0:03:50.510,0:03:52.080
kwlinye icala lenxaki kufuneka uyenze nakwelinye.

0:03:52.080,0:03:54.230
Ngoko ke sidibanise u'a' ophindwe kabini apha, ngoko ke masidibanise u 'a'

0:03:54.230,0:03:56.840
ophindwe kabini apha kwakhona.

0:03:56.840,0:04:01.350
Kwaye ngoku ungaphinda kwakhona uyibhale lento njenge sikwere

0:04:01.350,0:04:02.260
senye inxaki ethile.

0:04:02.260,0:04:04.210
Kodwa phambi kwalonto kufuneka sifumane ukuba ibiyintoni?

0:04:04.210,0:04:05.520
Kulungile, siyenza njani lanto?

0:04:05.520,0:04:06.740
Kulungile, ngubani u'a'?

0:04:06.740,0:04:10.720
Ukuba lenxaki ilapha ngu '2ax', ngubani u'a'?

0:04:10.720,0:04:15.380
Kulungile '2a' uzakulingana no 16, ngoko ke 'a' ulingana no8.

0:04:15.380,0:04:18.020
Kwaye ungayenza lanto ngokuhlolisisa;

0:04:18.020,0:04:18.630
yenza apha kuwe entloko.

0:04:18.630,0:04:20.930
Kodwa ukuba ubufuna yenzeke "algebraically" unga

0:04:20.930,0:04:25.690
bhala '2ax' ulingna

0:04:25.690,0:04:29.090
Kwaye kwangoko yahlula macala ngo '2x', kwaye ufumana u'a' eli

0:04:29.090,0:04:31.430
ngana no '16x' ngaphezu kuka '2x'

0:04:31.430,0:04:36.950
Kwaye uthathe ngathi 'x' akalingani no 0lento ehluza

0:04:36.950,0:04:38.130
Ngoko ke 'a' ngu 8.

0:04:38.130,0:04:42.430
Ngoko ke ukuba 'a' ngu 8singabhala lento kwakhona lenxaki--ndiza kucima

0:04:42.430,0:04:49.030
imibala ngoku pheleleyo-- nje ngokuba 'x' ophindwe kabini dibanisa '16x'

0:04:49.030,0:04:50.470
dibanisa 'a' ophindwe kabini.

0:04:50.470,0:04:54.180
Kulungile, ngu 64, ngoba 'a' ngu 8.

0:04:54.180,0:04:59.170
Ulingana no 57 dibanisa 64.

0:04:59.170,0:05:00.720
Akunjalo?

0:05:00.720,0:05:04.600
Ndiye kolona caciso ludinisayo apha, kodwa yonke

0:05:04.600,0:05:08.890
into esiyenzileyo ukufika phaya sidibanise 57 kumacala

0:05:08.890,0:05:10.870
omabini alenxaki ngendlela zokuyibeka kwicala lase kunene

0:05:10.870,0:05:14.320
kwaye kwangoko sidibanise 64 macala omabini alenxaki.

0:05:14.320,0:05:16.830
Kwaye kutheni sidibanisa 64 macala omabini alenxaki/

0:05:16.830,0:05:21.070
Ukuze ilicala lasekhohlo lalenxaki lithathe lendlela.

0:05:21.070,0:05:23.200
Kuba ngoku icala lasekhohlo lithathe lendlela

0:05:23.200,0:05:26.030
Ndingayibhla kwakhona kanjani?

0:05:26.030,0:05:27.170
'x' dibanisa 'a' , ubaphinde kabini.

0:05:27.170,0:05:28.620
Ndingayibhala kwakhona ngale ndlela.

0:05:28.620,0:05:35.550
kwaye siyayazi ukuba 'a' ngu 8, ngoko ke ivela ibe ngu 'x' dibanisa 8' ubaphinde kabini,

0:05:35.550,0:05:39.730
ilingana no--kwaye ngubani 57 dibanisa 64?

0:05:39.730,0:05:43.090
Ngu 121.

0:05:43.090,0:05:47.270
Ngoku sinento ekhangeleka ilula kakhulu--ngu

0:05:47.270,0:05:48.960
iseyi "quadratic equation", ngqo, ngoba ukuba u-

0:05:48.960,0:05:50.350
bunolwandisa elicala ubuzakufumana i'quadratic equation".

0:05:50.350,0:05:53.065
Kodwa singayisombulula lento ngaphndle kokusebenzisa i'quadratic equation".

0:05:53.065,0:05:54.610
okanye ngaphendle kokucazulula.

0:05:54.610,0:05:57.390
Usuka apho singathatha ingcambu yamacala omabini alento.`

0:05:57.390,0:06:00.550
Kwaye ukuba singathatha ingcambu yalama cala omabini singafumana ntoni?

0:06:00.550,0:06:03.610
Sifumana--kwakhona, ngokuqgibeleleyo masicime imibala--

0:06:03.610,0:06:09.230
la 'x' dibanisa 8 ulingana no, kwaye khumbula lento, udibanisa okanye

0:06:09.230,0:06:12.880
thabatha ingcambu ka 121.

0:06:12.880,0:06:14.590
Kwaye ngubani ingcambu ka 121?

0:06:14.590,0:06:15.960
Kulungile ngu 11, akunjalo/

0:06:15.960,0:06:17.630
Ngoko ke kwangoko singaza aph/

0:06:17.630,0:06:18.800
Mandibiyele lento phaya.

0:06:18.800,0:06:20.620
Lento ibubucala.

0:06:20.620,0:06:26.830
Ngoko ke sifumana 'x' dibanisa 8 ulingana no dibanisa okanye thabatha 11.

0:06:26.830,0:06:30.420
Kwaye ngoko ke 'x' ulingana no--thabatha 8 kumacala omabini--thabatha

0:06:30.420,0:06:33.860
8 dibanisa okanye thabatha 11.

0:06:33.860,0:06:41.590
Kwaye mgoko ke 'x' angalinga--ngoko ke thabatha 8 dibanisa 11 ngu 3.

0:06:41.590,0:06:41.970
Kunjalo?

0:06:44.800,0:06:48.160
Mandiqinisekise ndiyenzile lonto.

0:06:48.160,0:06:53.310
'x' ulingana no thabatha 8 dibaisa okanye thabatha 11.

0:06:53.310,0:06:54.140
Ewe.

0:06:54.140,0:06:55.350
Injalo.

0:06:55.350,0:06:59.270
Ngoko ke 'x' angaba ngu 3.

0:06:59.270,0:07:02.960
Kwaye kwangoko ukuba ndithatha uthabatha 8 thabatha 11, 'x' anga

0:07:02.960,0:07:10.416
lingana kwakhona no thabatha 19.

0:07:10.416,0:07:11.350
Kulungile.

0:07:11.350,0:07:13.200
Kwaye makhe sijonge ukuba lanto iyayenza imvakalelo.

0:07:13.200,0:07:18.680
Ngoko ke ngokwe ncazo eyingcingane lento ifanele ukucazululeka ngoku ka 'x'

0:07:18.680,0:07:23.770
thabatha 3 phinda-phinda 'x' dibanisa 19 ilingana no 0.

0:07:23.770,0:07:24.030
Kunjalo?

0:07:24.030,0:07:26.160
Ngoba zombini ezi zizisombululo zale nxaki.

0:07:26.160,0:07:28.190
Kwaye lonto iyasebenza, akunjalo?

0:07:28.190,0:07:31.340
Thabatha 3 uphinda-phinde ngo 19 gnu thabatha 57.

0:07:31.340,0:07:36.920
Kwaye thabatha 3 dibanisa 19 ngu dibanisa '16x'

0:07:36.920,0:07:39.120
Bekufanele kwangoko sicazulele lento kwaphaya, kodwa ukuba

0:07:39.120,0:07:41.030
lonto ibingacacanga kuthi--ngoba, uyayazi ubuncinci

0:07:41.030,0:07:43.600
19 ngamanye amaxesha linani elingaqhelekanga--besizakuyenza

0:07:43.600,0:07:46.800
sigqibezele isikwere.

0:07:46.800,0:07:47.690
Kwaye kutheni ibizwa ngokuba kukugqibezela isikwere?

0:07:47.690,0:07:49.920
Ngoba uyifumana ngalendlela kwaye kwangoko kufuneka udibanise lento

0:07:49.920,0:07:52.950
nantsi indlela yokugqibezela isikwere--ukuguqula lento

0:07:52.950,0:07:56.020
kwelicala lasekhohlo kwicala eliphindwe kabini.

0:07:56.020,0:07:56.770
Masenze enye yokugqibela.

0:07:56.770,0:07:59.920
Kwaye ndizakwenza ucaciso ulumbalwa kwaye kakhulu ukukhawulezisa

0:07:59.920,0:08:02.105
ukwenza inxaki, kwaye kwangoko ingenza ibonakale ilulu.

0:08:04.800,0:08:07.080
Kodwa lento izakuba yinxaki ekrwelisa isntloko.

0:08:07.080,0:08:19.930
Ngoko ke mandithi ndino '6x' ophindwe kabini thabatha '7x' thabatha 3 ngu 0.

0:08:19.930,0:08:22.980
Ungazama ukuyicazulula, kodwa ngokwenyani

0:08:22.980,0:08:25.260
ndiyathanda ukuyicazulula xa inomlingani.

0:08:25.260,0:08:27.590
Kwaye ungathi, kulungile kutheni singahluli ezizinto zombini macala

0:08:27.590,0:08:28.970
ezalenxaki ngo6?

0:08:28.970,0:08:30.960
Kodwa kwangoko ungazakufumana amaqhezu apha kunye neqhuzu nalapha.

0:08:30.960,0:08:33.580
Kwaye kuzimakakhulu ukuyicazulula nje ngokuyihlola.

0:08:33.580,0:08:35.190
Ungenza i"quadratic equation".

0:08:35.190,0:08:37.310
Kwaye mhlawumbi ndizakubonisa kwixesha elizayo lomboniso, i"quadratic

0:08:37.310,0:08:39.500
equation"--kwaye ndiyacinga ukuba ndiyenzile kwangaphambili apho ndinqginile

0:08:39.500,0:08:40.630
i"quadratic equation".

0:08:40.630,0:08:42.380
Kodwa i'quadratic equatio" ngamanye amagama

0:08:42.380,0:08:43.170
kukuqgibezela isikwere.

0:08:43.170,0:08:44.090
Ngundlela lula.

0:08:44.090,0:08:46.280
Kukukhumbula qha isichazi sayo.

0:08:46.280,0:08:48.320
Kodwa masigqibezele isikwere apha, ngoba yiyo into

0:08:48.320,0:08:50.640
esingayo apha kulomboniso.

0:08:50.640,0:08:54.650
Ngoko ke masidibanise u3 macala alenxaki.

0:08:54.650,0:08:56.300
Singenza--kakulhe, masidibanise u3 kuqala.

0:08:56.300,0:09:04.820
Ngoko ke ufumana u'6x' ophindwe kabini thabatha '7x' ilingana no3.

0:09:04.820,0:09:06.770
Ndidibanise u3 macala.

0:09:06.770,0:09:09.470
Kwaye abanye otitshala bazakumshiya uthabatha 3 apha, kwaye kwangoko zama

0:09:09.470,0:09:11.050
ukufumana phandle udibanisa ntoni kwaye yonke lonto.

0:09:11.050,0:09:13.170
Kodwa ndiyathanda ukuyibekela bucala kwendlela ukuze ndifiumana phandle

0:09:13.170,0:09:16.080
ngokucacileyo lileiphi inani endinokulibeka.

0:09:16.080,0:09:18.230
Kodwa kwakhona andimthandi lo 6 apha.

0:09:18.230,0:09:19.550
Uvele aziphixanise izinto.

0:09:19.550,0:09:25.990
Ndiathanda ukuba no'x' dibanisa 'a' ophindwe kabini, hayi ingcambu

0:09:25.990,0:09:27.450
umlingana wesimeli u'x'.

0:09:27.450,0:09:31.530
Ngoko ke masahlule macala ngo alanxaki ngo 6, kwaye ufumana

0:09:31.530,0:09:39.730
'x' ophindwe kabini thabatha 7/6x ulingana --3uamahlule ngo 6

0:09:39.730,0:09:41.566
ilingana no1/2.

0:09:41.566,0:09:43.190
Kwaye ngesiyenzile lanto inyathelo lethu lokuqala.

0:09:43.190,0:09:46.450
Ngesahlule ngo6 kwasekuqaleni kwinyathelo lethu lokuqala.

0:09:46.450,0:09:49.250
Ngenye indlela, masizame ukugqibezela isikwere.

0:09:49.250,0:09:51.800
Ngoko ke sino 'x' ophindwe kabini--ndikuvula indawo.

0:09:51.800,0:09:59.530
thabatha 7/6x dibanisa nalonto izakulingana no 1/2.

0:09:59.530,0:10:02.400
Kwaye ngoko ke, kufuneka sidibanise into apha ukuze elicala lasekhohlo

0:10:02.400,0:10:05.290
lenxaki iphume liyinto ephindwe kabini.

0:10:05.290,0:10:06.620
Ngoko ke siyenza njani lotno?

0:10:06.620,0:10:10.770
Kulungile ngocoselelo sijonga lomlingani, kwaye sibeke

0:10:10.770,0:10:14.610
engqondweni lento ayingo 7/6 ngu thabatha 7/6.

0:10:14.610,0:10:17.460
Uthatha 1/2 wayo, kwaye kwangoko umphinde kabini.

0:10:17.460,0:10:18.610
Kunjalo?

0:10:18.610,0:10:19.690
Mandiyenze.

0:10:19.690,0:10:25.290
'x' dibanisa 'a' , baphinde kabini ufumana u'x' ophindwe kabini dibanisa

0:10:25.290,0:10:28.820
'2ax' dibanisa 'a' ophindwe kabini.

0:10:28.820,0:10:29.070
Kunjalo?

0:10:29.070,0:10:30.750
Lento yeyonanto ekufuneka uyikhumbule maxesha onke.

0:10:30.750,0:10:33.560
Kuko konke ukugqibezela isikwere okukuqukayo.

0:10:33.560,0:10:34.980
Ngoko ke ndiqgibokuthini ngoku?

0:10:34.980,0:10:37.260
Kulungile, esisimeli sizakuba ngu 1/2 yalento

0:10:37.260,0:10:39.190
ingumlingani iphindwe kabnini.

0:10:39.190,0:10:40.190
Kwaye siyanzi njani lonto?

0:10:40.190,0:10:43.880
Ngoba 'a' uzakuba ngu 1/2 yalomlingani ukuba

0:10:43.880,0:10:45.850
wenza kancinci umfuziselo wokudibanisa.

0:10:45.850,0:10:48.760
Ngoko ke ngubani 1/2 walomlingani?

0:10:48.760,0:10:54.050
1/2 thabatha 7/6 ngu thabatha 7/12.

0:10:54.050,0:10:56.640
Ngoko ke ukuba ufuna ukubhala 'a' ulingana nothabatha

0:10:56.640,0:10:58.770
7/12 ngoko mzekelo.

0:10:58.770,0:11:00.770
Kwaye ndiphinda-phinde lento ngo 1/2.

0:11:00.770,0:11:01.980
Kunjalo?

0:11:01.980,0:11:03.660
Ngoko ke ndidibanisa ntoni macala omabini?

0:11:03.660,0:11:06.030
Ndidibanisa u'a' ophindwe kabini.

0:11:06.030,0:11:08.930
Ngoko ke ngubani u 7/12 umphinde kabini?

0:11:08.930,0:11:13.220
Kulungile ngubani u 49/144.`

0:11:13.220,0:11:15.000
Ukuba ndiyenzile kwicala lasekhohlo kufuneka ndiyenze

0:11:15.000,0:11:16.630
na kwcala lasekunene

0:11:16.630,0:11:22.240
Dibanisa 49/144.

0:11:22.240,0:11:26.120
Kwaye ngoku ndingacazulula njani elicala lasekhohlo?

0:11:26.120,0:11:26.880
Lithini inyathelo lehtu elilandelayo?

0:11:26.880,0:11:28.470
Kulungile siyazi ngoku yingcmbu egqibeleleyo.

0:11:28.470,0:11:31.550
Ngokwenyani, siyayazi ngubani u'a'. 'a' ngu thabatha 7/12.

0:11:31.550,0:11:35.200
Kwaye siyayazi icala lethu lasekhohlo lale nxaki

0:11:35.200,0:11:43.390
ngu 'x' thabatha 'a'--oaknye 'x' dibanisa 'a', kodwa 'a' linani lelithabatha yo.

0:11:43.390,0:11:47.980
Ngoko ke 'x' dibanisa 'a' kwaya 'a' nguthabatha, ohpindwe kabini.

0:11:47.980,0:11:50.350
Kwaye ukuba ufuna ungacazulula lento phandle kwaye ungqine

0:11:50.350,0:11:53.130
ukuba ukuba nyani ilingana nalento.

0:11:53.130,0:11:55.920
kwaye lanto izakulingana no--masifumane into ezifanayo

0:11:55.920,0:11:58.360
ngaphantsi, 144.

0:11:58.360,0:12:04.070
Ngoko ke 72 dibanisa 49 ilingana no121.

0:12:04.070,0:12:06.300
121/144.

0:12:06.300,0:12:09.210
Ngoko ke sino 'x' thabatha 7/12, yonke lanto uyiphnde ngesibini.

0:12:09.210,0:12:13.180
ilingana no 121/144.

0:12:13.180,0:12:14.300
Ngoko ke senza ntoni xa kunje ngoku?

0:12:14.300,0:12:15.570
Kulungile, ngoku sithatha ingcambu macala

0:12:15.570,0:12:17.700
aelnxaki.

0:12:17.700,0:12:20.140
Kwaye ndizama ukufumana indawo.

0:12:20.140,0:12:22.215
Tshintshela kuluhlaza.

0:12:22.215,0:12:25.320
Mandizibeke calanye ngaphandle.

0:12:25.320,0:12:33.310
kwaye sifumana 'x' thabatha 7/12 ulingana nodibanisa okanye thabatha

0:12:33.310,0:12:33.940
ingcambu yalanto.

0:12:33.940,0:12:38.120
Ngoko ke dibanisa okanye thabatha 11/12.

0:12:38.120,0:12:38.390
Kunjalo?

0:12:38.390,0:12:39.660
Ingcambuka 121 ngu 11.

0:12:39.660,0:12:42.420
Ingcambu ka 144 ngu 12.

0:12:42.420,0:12:44.480
Ngoko ke kwangoko singadibnisa 7/12 macala omabini elenxaki,

0:12:44.480,0:12:53.100
kwaye sifumana 'x' ulingana no 7/12 dibanisa okanye thabatha 11/12.

0:12:53.100,0:12:58.660
Kulungile lanto ilingana no 7 dibanisa oakanye thabatha 11/12.

0:12:58.660,0:13:00.050
Ngoko ke, athini amathuba ethu omabini?

0:13:00.050,0:13:03.930
7 dibanisa 11 ngu 18, ngaphesu kuka 12.

0:13:03.930,0:13:08.210
Ngoko ke 'x' angalingana 18/12, ngu 3/2.

0:13:08.210,0:13:11.010
okanye, ngubani 7 thabatha 11?

0:13:11.010,0:13:12.760
Ngu thabatha 4/12.

0:13:12.760,0:13:15.370
Ngoko ke ngu thabatha 1/3.

0:13:15.370,0:13:16.630
Nantsoke unayo.

0:13:16.630,0:13:17.940
Kuku gqibezela isikwere.

0:13:17.940,0:13:20.220
Ngethemba ufumene lanto inengcaciso enengeniso.

0:13:20.220,0:13:23.340
kwaye ukuba ufuna ukugqinelana ne"quadratic equation", konke owu

0:13:23.340,0:13:27.320
makukwenze endaweni yoba namanani apha, bhala 'ax' ophindwe kabini

0:13:27.320,0:13:29.820
dibanisa 'bx' dibanisa 'c' lingana no 0.

0:13:29.820,0:13:34.130
kwaye kwangoko gqibezela iskwere ngokusebenzisa a,b, kunye no c.

0:13:34.130,0:13:35.060
endaweni yamanani.

0:13:35.060,0:13:37.180
kwaye uzakuphela ne "quadratic equation'

0:13:37.180,0:13:38.110
ekupheleni.

0:13:38.110,0:13:39.510
Kwaye ndiyacinga ukuba ndiyenzile lanto kulomboniso.

0:13:39.510,0:13:41.600
Ndazise ukuba khange ndiyenze kwaye ndizakwenzea yona.

0:13:41.600,0:13:44.540
Ngenyindlela, ndizakubona kumboniso olandelayo.