Thread: Please check My results !

Hello please tell me if i did my homework right, because i think my math teacher hates me lol anyway here we go:

the question:
for which of values of entirer natural N T one has:

[1+i (racing) 3] ^n real positive?

[1+i (racine) 3] ^n real negative?

[1+i (racing) 3] ^n imaginary pure?


for me the first 1 I got:
-postitive: n=6k (pi)

- negative: n=3+6k

to imaginair pure:
n/3=1/2+k = 2k/2 +1


P.S: (racine) =

Originally Posted by iceman1

Hello please tell me if i did my homework right, because i think my math teacher hates me lol anyway here we go:

the question:
for which of values of entirer natural N T one has:

[1+i (racing) 3] ^n real positive?

[1+i (racine) 3] ^n real negative?

[1+i (racing) 3] ^n imaginary pure?


for me the first 1 I got:
-postitive: n=6k (pi)

- negative: n=3+6k

to imaginair pure:
n/3=1/2+k = 2k/2 +1


P.S: (racine) =

"racine?" How about "radical" maybe?

And what does " for which of values of entirer natural N T one has" mean?

-Dan

Originally Posted by topsquark

"racine?" How about "radical" maybe?

And what does " for which of values of entirer natural N T one has" mean?

-Dan

sorry lol iam a french educated so i don't know the meaning in english.

'' for which of values of entirer natural N T one has"''
prove :
[1+i (racing) 3] ^n real positive?

[1+i (racine) 3] ^n real negative?

[1+i (racing) 3] ^n imaginary pure?


i got the module of z and the argument , then i replaced and i finished by this
-postitive: n=6k (pi)

- negative: n=3+6k

to imaginair pure:
n/3=1/2+k = 2k/2 +1