# find xWatch

#1
if

x=1+ω^x+ω^{2x}

find x

ω is The cube root of unity
0
10 years ago
#2
Is x real or complex?
0
#3
x real
0
10 years ago
#4
(Original post by drmath)
if

x=1+ω^x+ω^{2x}

find x

ω is The cube root of unity
x is here,here and here x=1+ω^x+ω^{2x}
duh... lol

[/sarcasm]

ill give anyone rep who can figure this out.. cos it amazes me how people can calculate stuff like this...
0
10 years ago
#5
Well, x = 3 is an "obvious" solution.
0
10 years ago
#6
Further to this, I think basic algebra has us solving sin(2x.pi/3) = 0 or cos(2x.pi/3) = -1/2, and we can verify easily that none of the other potential solutions (0, 1, -1, 3/2, -3/2, 2, -2) work.
0
10 years ago
#7
When I equate imaginary parts to zero, I am left with sin \pi x = 0 rather than sin 2/3 \pi x or cos \pi /3 x =0
0
10 years ago
#8
3 isn't it
0
#9
x-1= ω^x+ω^{2x}

(x-1)^2=(ω^x+ω^{2x})^2

x^2-2x+1=ω^{2x}+2ω^{3x}+ω^{4x}

but
ω^{4x}=ω,ω^{3x}=1,x-1=ω^x+ω^{2x}

x^2-3x=0

x=0(not work), x=3

thank you
0
10 years ago
#10
does anyone know any A2 level chemistry CD rom online to buy?

i will appreciate if anyone replies

thx...
0
10 years ago
#11
(Original post by highachiever)
does anyone know any A2 level chemistry CD rom online to buy?

i will appreciate if anyone replies

thx...
Don't spam. Nobody is going to reply to you if you post it all over the place in the wrong forums. You will however get lots of neg rep, and maybe worse. Try making a single post (preferably a bit more informative...you're not exactly clear what you want), in the right forum (that means: not here!).
0
10 years ago
#12
(Original post by drmath)
x-1= ω^x+ω^{2x}

(x-1)^2=(ω^x+ω^{2x})^2

x^2-2x+1=ω^{2x}+2ω^{3x}+ω^{4x}

but
ω^{4x}=ω,ω^{3x}=1,x-1=ω^x+ω^{2x}

x^2-3x=0

x=0(not work), x=3

thank you
Neat method. Is there any way of doing it without squaring it (and creating unwanted values of x?)

0
10 years ago
#13
(Original post by highachiever)
does anyone know any A2 level chemistry CD rom online to buy?

i will appreciate if anyone replies

thx...
Please start a new thread if you have a question- you're far more likely to get relevant responses that way than if you post in existing, unrelated threads. This has been mentioned to you before, and if you continue with it you will be warned.
X

new posts
Latest
My Feed

### Oops, nobody has postedin the last few hours.

Why not re-start the conversation?

see more

### See more of what you like onThe Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

### University open days

• Cranfield University
Cranfield Forensic MSc Programme Open Day Postgraduate
Thu, 25 Apr '19
• University of the Arts London
Open day: MA Footwear and MA Fashion Artefact Postgraduate
Thu, 25 Apr '19
• Cardiff Metropolitan University
Sat, 27 Apr '19

### Poll

Join the discussion

#### Have you registered to vote?

Yes! (260)
38.92%
No - but I will (45)
6.74%
No - I don't want to (49)
7.34%
No - I can't vote (<18, not in UK, etc) (314)
47.01%