Chinese | Math Olympiad | Can You Solve ?
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!
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Thanks for Watching !
Пікірлер: 12
Interesting proof.
(9^60+1)/9^ 30
9^30+1/9^30=1+9^60/9^30
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
Hello
Nice solution, but it was not necessary to divide by 3 at first place.
@kassuskassus6263
15 күн бұрын
I agree with you. Just squaring both sides.
More straightforward solution is to calculate x1,2 = (sqrt(6)/180. (1 +- i). Then (1 +-i)^4=4 !!! This eliminates i.
Sir
[9^(30)]+[9^(-30)]
It was a wonderful explanation and a nice solution 👍🏻 🙏
18x^2+2/6x^2 =20x^2/6x^2 =3.2x (x ➖ 3x+2) x^80+2/x80 =2/x^160 =x^80 2^30 2^40 2^40 2^5^4 2^5^14 2^1^14 2^4 2^2^2 1^1^2 1^2 (x ➖ 2x+1)