Chinese | Math Olympiad | Can You Solve ?

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Ай бұрын

Chinese | Math Olympiad | Can You Solve ?
Welcome to another exciting math challenge! In this video, we tackle a difficult algebra problem from the Chinese Math Olympiad. This problem is sure to test your problem-solving skills and mathematical prowess.
Are you up for the challenge? Watch the video, try to solve it on your own, and then see if your solution matches ours. Don't forget to comment below with your approach and solution!
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🔢 What You'll Learn:
Key strategies for simplifying complex expressions
Tips and tricks to approach difficult simplification problems
Step-by-step walkthrough of the solution
🧠 Challenge Yourself:
Pause the video, try to solve the problem on your own, and then watch as we break down the solution. Share your approach and answers in the comments below!
👍 Don't Forget to:
1. Like the video if you found it helpful.
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4. Join us and enhance your problem-solving skills. Can you master this simplification problem?
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Thanks for Watching !

Пікірлер: 15

@mihaipuiu6231 Ай бұрын

Interesting proof.

@johnstanley5692 Ай бұрын

Synthetic division is much easier since we only need to find x-x0= 0; to reduce all higher order polynomial to zero order. Here we only need to solve 9x+1/3x=sqrt(6) to obtain x0 =sqrt(6)*(1 +/- i )/18. Here x^40 -> remainder (x^40 /(x-x0)) . This gives= x^40 = 2.3590e-29 => (1 /x^40) = 4.2391e+28 -> (x^40 +1/x^40) = 4.2391e+28+ 2.3590e-29 ~4.2391e+28

@shmuelzehavi4940 Ай бұрын

Nice solution, but it was not necessary to divide by 3 at first place.

@kassuskassus6263 Ай бұрын

I agree with you. Just squaring both sides.

@manasishastry345 Ай бұрын

9^30+1/9^30=1+9^60/9^30

@edwinpittomvils2570 Ай бұрын

More straightforward solution is to calculate x1,2 = (sqrt(6)/180. (1 +- i). Then (1 +-i)^4=4 !!! This eliminates i.

@mohammedsaysrashid3587 Ай бұрын

It was a wonderful explanation and a nice solution 👍🏻 🙏

@johnstanley5692 26 күн бұрын

A faster method? 9x+1/3x=6^(1/2)=> x=(sqrt(6)/18)*(1+/- i) =(sqrt(3)/9)*exp(i*pi/4) =>x^40=(1/9^30)exp(i*10pi). => x^40 +1/x^40 = (1/9)^30 +9^30 ~> 9^30 ~> 4.2391e+28.