Thread: find entier number n and p

plz find entier numbers n and p which make the following system to have solutions

z^n=1
(1+z)^p=1

plz help

Originally Posted by saucisson

plz find entier numbers n and p which make the following system to have solutions

z^n=1
(1+z)^p=1

Those equations imply that both z and 1+z lie on the unit circle. The only such points are , so that n=3 and p=6 (or multiples thereof).

Under the hypothesis that , , and arbitrary is also solution...

Kind regards