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

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Today I will teach you tips and tricks to solve the given olympiad math question in a simple and easy way. Learn how to prepare for Math Olympiad fast!

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I have over 20 years of experience teaching Mathematics at American schools, colleges, and universities. Learn more about me at

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

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Very good explanation, sir.
Thanks a bunch❣️

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

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

andreadevescovi
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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.

kevinseptember
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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

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

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

sayabelalang
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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!!!!

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

v-gc
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(√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😃

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

hansschotterradler
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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.

cowabunka
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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!

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

netravelplus
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very well done, thanks for sharing this Olympiad question

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

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

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

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

HappyFamilyOnline
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Why choise cubic expresion in this case?

minka