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) =
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