Olympiad Mathematics | Learn how to solve the system for x+y quickly | Math Olympiad Training

[@orakilyeshfe4891]

Very good explanation, sir.
Thanks a bunch❣️

[@PreMath]

You are very welcome.
Glad to hear that!
Thank you for your feedback! Cheers!
You are awesome, Orakil 😀

[@cobokobo2115]

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[@اممدنحمظ]

تمرين جيد . شكراجزيلا لكم والله يحفظكم ويرعاكم ويحميكم جميعا . تحياتنا لكم من غزة فلسطين ة.

[@cobokobo2115]

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[@kevinseptember2917]

Please advise, what made you use the cubic identity in this case? Could you have used the squared identity also. Thank you for your awesome videos.

[@Abby-hi4sf]

if you let √x = a then x = ( a)^2 also √x .√x . √x = x√x = (a)^3

[@andreadevescovi4166]

Very beautiful!
This is more difficult for me… I wasn’t able to solve it. I turned around the solution without find :)

[@srividhyamoorthy761]

Yesssir , I saw this video from presh talwalker in mind your decisions I didn't see ur previous bid cuz I knew the answer this is fun and worth watching a second time

[@cobokobo2115]

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[@samitsikdar498]

but sir how to understand whether to do whole cube or whole square or any other identity

[@srividhyamoorthy761]

When I saw TH cubic formula I knew what was coming up root x the whole cube gets you x root x and same for y I knew it great job!!!!

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[@sayabelalang1109]

Thanks for your explain,
I hope u still healthy and happy

[@hiDEmi_oCHi]

(√x+√y)^3は思い付かなかったです。
なるほど、3乗にすればうまく解決しますね😃

[@cobokobo2115]

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[@v-gc7257]

Very very helpful tutorial. Need to watch more of this for myself

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[@netravelplus]

Excellent problem. Seemingly complex math problem requiring a simple trick to make it easy.

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[@hansschotterradler3772]

I wish I had you as a math teacher in the 1980s. Where were you??😅

[@bernardomartineztari]

I replaced sqrt(x)=a and sqrt(y)=b, then substitute, and you see the cube formula right away. Also, you don't have to carry over so many roots. But good video!

[@hanafathima-ng8yu]

sir i have a question, pleasereply, i calculaated and have x +y as 73 and square root of y as -3

[@JSSTyger]

You are the best.

[@kcro8068]

very clean

[@PreMath]

Glad to hear that!
Thank you for your feedback! Cheers!
You are awesome, KCRO 😀

[@KAvi_YA666]

Thanks for video. Good luck sir!!!!

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[@242math]

very well done, thanks for sharing this Olympiad question

[@PreMath]

Glad you enjoyed it!
Thank you for your feedback! Cheers!
You are awesome 😀

[@cobokobo2115]

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[@cowabunka]

i like this question a lot. I ended up solving it by imagining a cube of side a+b where a=rt X and b= rt Y. Essentially playing lego.

[@cobokobo2115]

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[@davisnganga6266]

Very interesting but tricky.

[@SuperYoonHo]

thanks a lot sir

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[@izuaff04]

at 4:37, what you mean they undo each other??

[@princejag]

that means they get cancelled with each other.

[@res5139]

You are totally awesome!

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[@HappyFamilyOnline]

Very nice sir👍
Thank you so much for sharing😊😊

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[@Soumik78]

brilliant work sir

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[@Methodgood]

Bước đầu tiên là giải hệ phương trình tìm được x và y suy ra x+y.

[@devindermehta5577]

Very well explained

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[@luigipirandello5919]

Excelente. Obrigado mestre.

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[@minka866]

Why choise cubic expresion in this case?

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[@mahalakshmiganapathy6455]

Excellent 👌

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[@stimulantdaimamld2099]

great

[@hajidmaacerenbaljir7317]

Hi thanks

[@SuperYoonHo]

u r awsome

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[@nirupamasingh2948]

Vvv nice

[@PreMath]

Glad to hear that!
Thank you for your feedback! Cheers!
You are awesome, Niru dear 😀
Love and prayers from the USA!

[@mariomestre7490]

Genial!!

[@mathfreak5702]

Yeah! Got the same

[@PreMath]

Fantastic!
Glad to hear that!
Thank you for your feedback! Cheers!
You are awesome 😀

[@potalayerrinaidu7005]

After process shortcut explanation plz
Your convenient

[@PreMath]

Thank you, Cheers!
You are awesome 😀

[@pranavamali05]

Thnku

[@PreMath]

You are very welcome.
Thank you for your feedback! Cheers!
You are awesome, Pranav 😀

[@vikasachariya2262]

It is inspired by Ramanunjan Indian mathmetician

[@user-my7ki4it3s]

I just multiplied equation 1 by 3 and then added equation 2 to it. Therefore we obtained equation 4. Then from equation 1 I factored out sqrt(xy) and substituted 9 in (x+y) => sqrt(xy)=182/9. After squaring equation 4 we obtain: x+2sqrt(xy)+y=81, from which x+y=365/9

[@omarhamza1492]

I could not factor it,
how did you do it ?

[@think_logically_]

That's the correct way to solve it!

[@xyz9250]

I did exactly the same

[@МаркизКарабас-о6б]

Використав формулу суми кубів у рівнянні 2, а потім формулу квадрат суми у ньому ж. Підставив в нього sqrt(x*y) з 1 ріняння та отримав 9. Потім вже використав 3-тє рівняння.

[@nicogehren6566]

nice question

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[@del66404]

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[@giuseppemalaguti435]

21,74....18,8...circa

[@mustafizrahman2822]

I have solved it very easily. The answer will be 365/9.

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[@susantamallick5700]

Please find x-y.

[@ابوفراس-ق7د]

👍

[@olgakornak3969]

x=?,y=?

[@MajorDumai]

It's not needed.

[@catmatism]

I am the 999th person to like this video

[@meliodassama9058]

It was difficult

[@stimulantdaimamld2099]

great