While this presented an interesting way to show that (1+i*sqrt[3])/2 is the cube root of -1, it might have been quicker to represent it in complex polar form as exp[i*pi/3], and recognise that 7777 powers is exp[i *(7776+1) * pi/3] or exp[i*(1296*2*pi +pi/3)] so result is just exp[i*pi/3]. Admittedly, this does assume that one notices that (1+i*Sqrt[3])/2 is unimodular and recognises the 30-60-90 triangle to get the phase.
This was the clear way to solve it and the intended way for a Math Olympiad problem for sure. By looking at the large exponent in the problem, it was clear that Euler's path was the shortest one...
This isn't good bro what quality is this this question is so far from olympia level Olympiads are 100x tougher and you are putting olympiad in the thumbnail and a picture of einstein! this is as funny as worse your thumbnail is 😂😂😂
While this presented an interesting way to show that (1+i*sqrt[3])/2 is the cube root of -1, it might have been quicker to represent it in complex polar form as exp[i*pi/3], and recognise that 7777 powers is exp[i *(7776+1) * pi/3] or exp[i*(1296*2*pi +pi/3)] so result is just exp[i*pi/3]. Admittedly, this does assume that one notices that (1+i*Sqrt[3])/2 is unimodular and recognises the 30-60-90 triangle to get the phase.
This was the clear way to solve it and the intended way for a Math Olympiad problem for sure. By looking at the large exponent in the problem, it was clear that Euler's path was the shortest one...
Very elegant method.
Many Thanks 👍 😊
Beautiful.
Thankyou Boss 😊
That one is perfect
Thanks for sharing your precious feedback 🙂
can you learn us sth about methamatics for example making a video about what is the imaginary number and how is the multiplication works on them.
Sure 😊
This isn't good bro
what quality is this this question is so far from olympia level
Olympiads are 100x tougher and you are putting olympiad in the thumbnail and a picture of einstein!
this is as funny as worse your thumbnail is 😂😂😂
Alright Boss 😔
There is an error at minute 5.22.
(X-1) X does NOT mean (X-1-X) 😮😮😮😮😮😮😮😮😮😮😮😮😮😮😮😮😮😮😮😮😮😮😮😮😮😢
Sorry Boss
That is not error.
I think you have misunderstood.
Please review it.