A Nice Math Olympiad Question x^6={x-1}^6 | Solve For 'X'
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you can just root over the equations giving you +-(x-1) resulting in 2x=1 and hence x=1/2. Keep it simple and subtle.
isnt it just x = abs(x-1) ??
@umarus2
Ай бұрын
🤣 you destroyed 13-min video 😂
@FinBoyXD
Ай бұрын
You also need absolute value around x on the left, although it doesn't give any solutions when x is negative, it's still supposed to be there.
I think this is way over complicated. This just becomes x = x-1 or 1-x. If the first is true than 1=0 which is never true and so the second option must be true. 1-x =x so x=1/2. I don’t know how time pressured it is. Maybe I would check other alternatives if you had like 5-10 mins a question, but for this, just keep it simple.
@decentsingersclub
Ай бұрын
you mean x = abs(x-1)
I just used the 6th root of unity and find 1/2 much faster and i got the complex solutions in addition
there is wrong formula: a^3+b^3 = (a+b)(a^2-ab+b^) at minute 4:18
@869dailymathematics
Ай бұрын
Really?? I don't think so 🤔
@franklyncheatum2324
Ай бұрын
@@869dailymathematics You have a^3+b^3=(a+b)(a^2+ab+b^2) and that isn't right. If all the terms are positive, nothing cancels out in the middle and you end up with positive a^2b and ab^2. Also, let a=2 and b=1. 8+1 is not equal to (3)(4+2+1)=21. @drice1985 is correct except he's missing the last 2 before the closing parentheses. 8+1=(3)(4-2+1)=(3)(3)=9
0.5
@869dailymathematics
Ай бұрын
Correct
wait cant you just say that (x-1)/x = exp(ni . pi/3)? since x=0 does not work
nice nails bro
@869dailymathematics
Ай бұрын
😂😂😂😂
1/2 or 0.5 too easy
@869dailymathematics
Ай бұрын
Correct
Wiw nice one. Good❤🎉
@869dailymathematics
Ай бұрын
Thanks 🤗