1
00:00:00,418 --> 00:00:12,533
agar hamaaray pass aik equation hai 7x

2
00:00:12,533 --> 00:00:15,867
isko solve karnay se pehlay

3
00:00:15,867 --> 00:00:19,737
mujhe yeh sochna hai keh 7x ka matlab kya hai?

4
00:00:19,737 --> 00:00:22,430
agar hamaray pass aik ibaarat hai 7x=14

5
00:00:22,430 --> 00:00:39,427
iska matlab hai keh7 zarab x, yaani hum 7 ko aise hindsay se zarab dein keh jawab 14 aaye

6
00:00:39,427 --> 00:00:43,533
aap isko zubaani solve kar saktay hain

7
00:00:43,533 --> 00:00:45,743
ya aap 7 ka pahaara bhi parh saktay hain

8
00:00:45,743 --> 00:00:48,762
agar 7 zarab aik se shuru karein tou 7 zarab aik ki value hai 7

9
00:00:48,762 --> 00:00:54,010
7 zarab 2 ki value hai 14. Tou iska matlab hai keh x ki value yaqeenan 2 hogi

10
00:00:54,010 --> 00:00:56,424
yeh jawab ya solution tou assni se nikal aaya

11
00:00:56,424 --> 00:00:59,257
is qisam ki asaan aur simple equation ka solution tou araam se nikaala ja sakta hai

12
00:01:08,267 --> 00:01:10,728
lekin agar equation kuch lambi ya mushkil ho tou zubaani ya simple tareeqay se iska jawab nikaalna mushkil hai

13
00:01:18,251 --> 00:01:21,920
iss equation 7x = 14 ka matlab hai keh 7 ko kisi aise number se zarab di jaaye keh iska jawab 14 aaye

14
00:01:21,920 --> 00:01:24,753
algebra mein aksar x ka sign istemaal nahin kiya jaata

15
00:01:26,588 --> 00:01:28,422
agar kisi do hindsoun ko ya aik hindsay aur aik anjaan hindsay ko zarab deni ho to agar unko aik doosray ke saath likha jaaye

16
00:01:28,422 --> 00:01:30,419
to iska bhi yehi matlab hot hai

17
00:01:30,419 --> 00:01:32,090
keh inko aapas mein zarab d jaa rahi hai

18
00:01:32,090 --> 00:01:34,087
yeh sirf isko likhnay ka aik assan tareeqa hai

19
00:01:34,087 --> 00:01:36,595
hum x is liye nahin likhtay keh aksar yeh jaan paana mushkil hai keh

20
00:01:36,595 --> 00:01:41,067
asal mein yeh x ya zarab ka nishaan hai ya keh yeh aik variable x hai

21
00:01:42,400 --> 00:01:49,412
Aksar logon ki likhaayi bhi aisi hoti hai keh 'x' kuch ajeeb lag sakta hai aur logon ko confuse kar sakta hai

22
00:01:49,412 --> 00:01:52,400
keh kisi no do baar tou x nahin likh diya.

23
00:01:54,985 --> 00:01:57,400
to aam taur par jab equations par kaam kiya jaata hai,

24
00:01:57,400 --> 00:01:58,933
khaas taur par jin mein x aik variable ho

25
00:01:58,933 --> 00:02:01,255
tou aisi equations mein zarab ka nishaan istemaal nahin kiya jaata

26
00:02:01,255 --> 00:02:05,434
kuch jagah par log sirf . ya dot ka nishaan bhi zarab ki jagah istemaal karte hain

27
00:02:06,595 --> 00:02:10,403
jaise 7. x(yaani 7 zarab variable x) = 14

28
00:02:10,403 --> 00:02:13,004
magar dot notation itna aam taur par istemaal nahin hota.

29
00:02:13,004 --> 00:02:14,908
agar aik variable ya anjaan number ho x aur usko aik aur hindsay se zarab deni ho tou usko

30
00:02:14,908 --> 00:02:16,766
7x likha jaa sakta hai

31
00:02:16,766 --> 00:02:19,738
iska matlab hai 7 zarab x

32
00:02:19,738 --> 00:02:22,478
iss equation ko hal karnay ke liye aap sochein keh 7 zarab x ka asal matlab kya hai

33
00:02:22,478 --> 00:02:25,403
isko iss tarah bhi dekha jaa sakta hai keh

34
00:02:35,388 --> 00:02:38,081
keh x kay hindsay ko 7 baar khud se jamah kiya jaaye

35
00:02:38,081 --> 00:02:40,403
jaise keh pahaaray mein hota hai

36
00:02:40,403 --> 00:02:48,484
yaani x jamah x jamah x jamah x jamah x

37
00:02:48,484 --> 00:02:51,735
yeh paanch baar x jamah hua, ab iss mein 2 aur x jamah karein

38
00:02:51,735 --> 00:02:55,589
yaani qul mila kar 7x (saat x ) ho gaye

39
00:03:03,716 --> 00:03:07,664
hamaari equation mein 7 x , 14 ke baraabar hain

40
00:03:11,472 --> 00:03:14,072
agar main 14 cheezein banaoon

41
00:03:14,072 --> 00:03:19,831
yaani aik(1), do(2), teen, chaar, paanch, cheh, saat, aath,

42
00:03:19,831 --> 00:03:23,467
nau, dus, gyaarah, baarah, taira, chauda tak

43
00:03:23,467 --> 00:03:26,936
hamaara matlab hai keh ywh 7x in chauda cheezon ke baraabar hai

44
00:03:26,936 --> 00:03:29,398
yeh statements bilkul baraabar hain

45
00:03:29,398 --> 00:03:32,741
inko iss tarah banaanay se yeh behtar samajh mein aata hai

46
00:03:35,388 --> 00:03:37,664
keh hum equation ke dono taraf ko saat(7) hison mein kaise taqseem kar saktay hain

47
00:03:47,867 --> 00:03:53,407
aam taur par jab hum aik equation ko asaan tareeqay se likhna chahtay hain

48
00:03:53,407 --> 00:03:56,147
tou uskay coefficient, ya variable se zarab honay walay hindsay ko nikaalnay ki koshish kartay hain

49
00:04:03,159 --> 00:04:05,249
agar hum equation ke dono jaanib ko 7 se divide ya taqseem karein tou iss equation ko assan tareeqay se likha jaa sakta hai

50
00:04:05,249 --> 00:04:07,757
iss see 7 ka hindsa cancel ho jaaye ga

51
00:04:07,757 --> 00:04:12,494
dono jaanib ko 7 se divide karein

52
00:04:12,494 --> 00:04:16,255
tou 7 ko 7 se hi taqseem karnay se 7 cancel ho jaaye ga

53
00:04:16,255 --> 00:04:18,252
aur sirf x reh jaata hai

54
00:04:18,252 --> 00:04:22,664
doosri jaanib 14 ko 7 se taqseem karein tou jawaab 2 aayega

55
00:04:22,664 --> 00:04:26,751
tou iss tarah x ki value 2 aati hai

56
00:04:26,751 --> 00:04:29,398
isko iss tarah se socha ja sakta hai

57
00:04:29,398 --> 00:04:32,742
keh agar aik equation ko balance karna ho, tou jo aik side par jamah (+) ya tafreeq (-) ya zarab(x) ya taqseem(/) kiya jaata hai

58
00:04:32,742 --> 00:04:36,410
wohi = sign ke doosri jaanib bhi kiya jaata hai, takeh equation balanced rahe.

59
00:04:36,410 --> 00:04:37,664
Hum ne aik side ko 7 se taqseem kiya, tou doosri side ko bhi karengay, kyoonkeh yeh aik equation hai

60
00:04:37,664 --> 00:04:39,800
iski left side, right side ke baraabar hai

61
00:04:39,800 --> 00:04:43,469
jo left side ko kiya jaata hai, wohi doosr side ko bhi

62
00:04:43,469 --> 00:04:46,163
balance karnay ke liye karna zaroori hai

63
00:04:50,482 --> 00:04:54,986
ab jabkeh left side ko 7 se taqseem kiya gaya hai

64
00:04:54,986 --> 00:04:56,054
main right sode ko bhi 7 hison mein baant deta hoon

65
00:04:56,054 --> 00:04:59,816
yaani 7 x 's ko, saat hison miein baantoon ga

66
00:05:04,460 --> 00:05:07,664
aur right jaanib ko bhi saat groups mein taqseem kar deta hoon

67
00:05:11,400 --> 00:05:16,999
aik do teen.............. cheh(6) saat(7) tak

68
00:05:16,999 --> 00:05:19,599
agar left side , right par di gai har cheez ke baraabar hai tou

69
00:05:19,599 --> 00:05:26,008
iss taraf ki aik x