Alternative method by observation:- From 3rd equation we can say that x,y and z are all +ve since we can't take square root of -ve number . All numbers (x,y,z) must be perfect squares because if they're not , the sum of their square roots would be irrational and hence cannot equal 4. Now , from first equation, We can say that x,y and z are whole nos. Less than 6 and which are also perfect squares . The only perfect squares less than 6 are 0, 1 and 4. Now , the only combination of these three nos. That satisfies eq1 is by taking two of the nos (x,y,z) equal to 1 and one of them equal to 4 . This gives their sum to be equal to 6. And we can also check our answer by putting these values in the other two equations (Please correct me if I'm wrong😅)
Sorry but from 3rd we can't conclude that x,y,z are perfect square (of natural no. ) Let take an example x = 7-4√3 y = 4+2√3 z = 1 Then , √x = 2-√3 √y = √3+1 √z = 1 Their sum is still 4 So we can't conclude that x,y,z are whole no.
The statement stating that x,y, and z all must be perfect square is wrong just by seeing equation 3. Wo to tukke se lag gya in general if √x + √y + √z = k ∈ R, is true for x,y,z ∈ R with *interdependency*. Here k=4
question is not about answer it is about standard approach other than guess mene bhi guess se 15 sec main karloya but that is not what this question is made for
Okay , So x, y, z lies in +ve Let any two individuals variables equal to 1 and last one equal to 4 Hence satisfied all three equations :) Hit and trial but sir explained right method and therefore many mathematician can solved it but can't have the perfect explanation for it in that time.
@@tanujabudhori dekh bhai Let kr a+b+c =6 h or que pucha h ki in how many values of a b c in which you can satisfy this condition where a b c are non negative integers tab aap kuch cases bnayoge jaise (0,0,6),(1,0,5) etc to total ese 7 cases aayenge usme se eak hi case (1,1,4) hi given que ki teeno condition ko satisfy kr rha h
Extra knowledge gain karne mein koi dikkat nahi rehni chahiye, itni dikkat hai solution se toh fir channel follow kyun kar rakha hai, aisi authentic videos maths ki aur kahin nhi milengi
bhai asli maths me sawaal ke tukke nahi bhidane hote hai aise sawaal ko likh ke solve karna jyada hard hota hai agar subjective paper lene lage aur aise sawaal dal de usme toh kitne toh wahi fail ho jayenge, agar maths se lagaav hai toh isko likh ke solve karne ka try karo agar bas koi exam nikalna hai package ke liye tab toh sahi hai good luck
@@shivanshnigam4015What if IIT Mains ya advance me aya to although I know ki yesa kabhi nahi hota par kya pata hone ko kuch bhi ho skta hai to aaya to bhi yahi karoge tum😂😂. Mera maksad kisiko troll ya sentiments ko hurt nahi karna hai to dont take it seriously
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Alternative method by observation:-
From 3rd equation we can say that x,y and z are all +ve since we can't take square root of -ve number .
All numbers (x,y,z) must be perfect squares because if they're not , the sum of their square roots would be irrational and hence cannot equal 4.
Now , from first equation,
We can say that x,y and z are whole nos. Less than 6 and which are also perfect squares .
The only perfect squares less than 6 are 0, 1 and 4.
Now , the only combination of these three nos. That satisfies eq1 is by taking two of the nos (x,y,z) equal to 1
and one of them equal to 4 . This gives their sum to be equal to 6.
And we can also check our answer by putting these values in the other two equations
(Please correct me if I'm wrong😅)
👍🏻👍🏻 Thanks a lot for proper explanation 😊
Yeah This is easier one
Thanks bro, meri maths weak hai, kuch naya sikhne ko mila👍
Sorry but from 3rd we can't conclude that x,y,z are perfect square (of natural no. )
Let take an example
x = 7-4√3
y = 4+2√3
z = 1
Then ,
√x = 2-√3
√y = √3+1
√z = 1
Their sum is still 4
So we can't conclude that x,y,z are whole no.
The statement stating that x,y, and z all must be perfect square is wrong just by seeing equation 3. Wo to tukke se lag gya in general if √x + √y + √z = k ∈ R, is true for x,y,z ∈ R with *interdependency*. Here k=4
who else solved it without even picking up the pen... just by intuition
question is not about answer it is about standard approach other than guess
mene bhi guess se 15 sec main karloya
but that is not what this question is made for
Finally someone is there who understands the importance of concept👍🏻 rather than just jumping to the answer🏆
Bro he also doing hit and trial in the end 😄 so why not at first??
Bhai Guess nahi kiya maximum put method use karte hai wo ki bilkul sahi hai simple but effective
It took hardly 10 seconds to observe this
Okay ,
So x, y, z lies in +ve
Let any two individuals variables equal to 1 and last one equal to 4
Hence satisfied all three equations :)
Hit and trial but sir explained right method and therefore many mathematician can solved it but can't have the perfect explanation for it in that time.
Sir merko toh dekhte hi dikh gaya😂 answer x y z 1 '4'1
Same
0:31 immediately solved sir without watching the solution by hit and trial answer can't be negative just by thinking this I clicked the solution 4,1,1
Shakuntala devi 🔥
Sir, maine ye genuinely pura method se solve kiya, mujhe wo xyz=4 bhi aa gya tha buss wo last mein cubic equation nhi banayi thi.
1:00 Aise hi dekhen toh 4,1,1 ek soln h
Although Qu. Is Simple but the methodology sir used is what one should learn - making the cubic eqn
Don’t be over smart. You are just a person who can just comment a video. Remember, you are not special
And the word “simple” is subjective. I think, you probably use AI 😂
@@AlphaDominator-q2y he meant that if you just want to find the answer, then it can be done very fast
I think this should be 4+1+1
And - 16+1+1
And -2+1+1
X= 4, y=1, and z=1
Kis kis ne yeh question orally solve kar diya
🤚🤚🤚
bhai usse hit and trial boltr hai solve karna nhi boltr
Me😂😂😂😂😂😂😂😂😂😂😂😂😂😂😊😅😅😅😅😅
ans(1,1,4)
@Infinite_Ascension same
Sir ye toh Sameer bansal sir ke dpp ka question hai
1,1,4 by inspection method
Sir ramanujan sir ka koi authentic numerical le ke ayega next time
What if there were cube roots in the third equation 😀🌚
Then second eq might given as x³ + y³ + z³ = "something " , so that we can relate equation
You don't need to calculate this, just think x y z must be perfect square number, so only possible value should be 1,1,4
How do you prove that x,y and z are perfect square numbers, wo to value daalne pe pata chala na, in general kaise pata chalega.
@@AdityaKumar-gv4dj if they are not perfectly square number then the sum of thier square root give decimal number, but it given +4 in the question
Sir i solved exact with this method it took me atleast 15 minutes
4,1,1 just by observation
Is this also solve by cramers rule ??
Can a function have two different derivatives pls answer
Sir aap ke channel me sa sets chapter ke playlist remove kerdi gai hai...😶
I have already find value by hit and trail a
X, y, z=1,4,1 respectively
I had goosebumps when cubic was introduced at the 6 minute mark.
Riyal
@@Addictive_Gamerz_ lol riyal😂
114 or 411 or 141
Hit and trial se ho jata 10 sec me
I solved it within 10sec by mere observation
Orally solution x=4,y=1,z=1
Bahut easy tha maza a gya
Maths is ❤❤❤❤❤❤❤❤
7:18 hit and trial se nikalna tha to mera equation dekh kr hi aa gya tha 😅
Yes bro it got me 17 sec
4,1,1
Done in 6minutes 23second All Amswer are matched.
its easy , x=1,y=1,z=4
sir mujhe teen equations dekhte hi answer aa gaya tha 4,1,1 1,4,1 1,1,4
Sir app kaha Tak padhe hai
Good evening sir ...sir hum first equation me am greater than equal to gm laga kar xyz ki value nahi nikal skte ?
Baat to shi h, lekin ussey inequality aaygi
1,1and 4
At first attempt only my process to get the answer matched as sir did
sir using hit trial method it can be solved in 3 sec
thanks for making such ques
sir next video will mit question please
i solved it orally
I solved while my eyes were closed
😂@@ManasChoubey-io6pz
I solved it with my common sense
I know that is too easy but tum logo ke phekna ka style bahut casual hai
That is not called solving but guessing.
I solved it by hit and trial
Sir isme jaise 6 ko pnc me cases bnakr distribution krte hai usme Jo total 7 cases bnege unko satisfy krake bhi to dekh skte the
Hey buddy. Your solution seems quite innovative could you share it😊
@@tanujabudhori dekh bhai
Let kr a+b+c =6 h or que pucha h ki in how many values of a b c in which you can satisfy this condition where a b c are non negative integers tab aap kuch cases bnayoge jaise
(0,0,6),(1,0,5) etc to total ese 7 cases aayenge usme se eak hi case (1,1,4) hi given que ki teeno condition ko satisfy kr rha h
sir is question main dekhne se hi pata chalra ki teen variable maise koi 2 1 hoge aur ek 4 hoga toh itna solve kyu kiya aapne
By observation of equation 1 and 3 x,y,z = 4,1,1
I solved it by hit and trial method
Sir maine iss question ko hit and trial se try kiya toh mera assumption aisa aa raha ha
X=1 y=1 z =4
..nice solve
How old are you ?
Ques - which is 4 - x, y or z
nice
i just guessed it as 4,1,1 by looking at 3rd equetion which satisfies the other 2
Hit and trial 114
😂I don't know how......x=1,y=4 and z=1
1,1,4
Ya it is a nice question if i will solve equation using only two equation above we get value x,y,z(0,3,3) but this root😮😮
Bro x,y,z non zero hogi warni square root wala condition nahi match hone wala isiliye 1,1,4 or 4,1,1 or 1 4,1 hoga ans
by hit and trial it is a cake walk
Very good question, had fun solving it😊got the answer as 4,1,1 by using hit and trial method.
4'1'1 hit trail
114
i succesfully did everything by my own, just except the last cubic part. i was just one step away from solving this completely lol!
Same yaar mene ek jagah par 6 7 equations likhi thi to dikhai nahi diya ye root wal bhi ho sakta koi na great approach by bhannat sir
4,1,1
tukke se 1, 4, 1 aa to gaya lekin solve nhi kar paya 😭😭
सर मैने सॉल्व किया है खुद कई सारी इक्वेशन बनानी पड़ी
1 1 4
Our thoda dimag lagao aur bhi Asaan tarika hai
Bhai hit and try solve krna gair kanooni h 😂
Extra knowledge gain karne mein koi dikkat nahi rehni chahiye, itni dikkat hai solution se toh fir channel follow kyun kar rakha hai, aisi authentic videos maths ki aur kahin nhi milengi
Solved under one minute in head
Dekhte hi bna diya
maine to dekhte hi solve kr diya tha
by observation se hi nipta diya bro.
2,1,1 0rallyvsolve
Sir this is so easy x=4,y=1,z=1😂😂
Me who asume 1,1,4 from first equation and after confirming it in othe 2 equation
🥳🥳🥳
Sir ye to orally hogya (1,1,4)🥴
fr bhai, literally 1 min mai
@pctech_memesandtoutorial4273 video pura dekhne se pehle comment kiya tha bro
@@ayush_5096 yup
If the question was to prove, tab aap sab think krte
I just verified by 4;1;1
Sir isse hum log carter rule se kar sakte hai log from determimants ?
4,1,1
Very easy question
I solved it in 5 seconds
iska answer video ke shuruat se pehele he nikal gya tha mera
Answer 4,1,1
Ye toh direct orally hi solve ho jata hain😶🙃
saw the question and suvstituted 114
1,1,4......tukka lagata and guess kara lol. 💀💀
1 min bhi nai laga, dekhte hi hogaya😁😁
Thanks
Aapki aawaj sunio jesi hai
Sir, koi aisa question Lao jisme orally na ho Raha ho , thoda hard bhi, ye 10 sec ke sawal bahut karchuke, kuch hard bhi laiye
bhai asli maths me sawaal ke tukke nahi bhidane hote hai aise sawaal ko likh ke solve karna jyada hard hota hai agar subjective paper lene lage aur aise sawaal dal de usme toh kitne toh wahi fail ho jayenge, agar maths se lagaav hai toh isko likh ke solve karne ka try karo agar bas koi exam nikalna hai package ke liye tab toh sahi hai good luck
@@shivanshnigam4015What if IIT Mains ya advance me aya to although I know ki yesa kabhi nahi hota par kya pata hone ko kuch bhi ho skta hai to aaya to bhi yahi karoge tum😂😂. Mera maksad kisiko troll ya sentiments ko hurt nahi karna hai to dont take it seriously
@@maheshgupta6713 haa bhai tabhi toh maine neeche likha tha agar bas koi exam nikalna hai toh all the best
Yeh to thumbnail dekhte hin slove ho gaya orally koun ki ye asan tha barna g### to fatta hin
Halaw sawal,, lakin mere se toh nahi bani 😢
Koi nahi mera bhi nahi hua 😢
Question utna bhi hard nahi tha honestly. Maine solve karke answer nikala aur mera aur aapaka method same tha
got 4,1,1 by hit and trial LOL
Orally hogaya
Solved orally 😂
❤❤❤❤❤
Solved it orally!!!❤❤❤
(1,1,4)
4, 1, 1
First 🎉
Without seeing solution 30 sec (4,1,1)😅❤❤
Comment padke lagta hai sare Ramanujan toh yaha par baithe hai😂
Faltu ki bakloli kar re hai, kuch hi hoge jo dekhte hi solve kar diya, maine hit and trial lga diyo 114
I calculated the answer just looking at the question