Algebra problem

By De Moivre's Theorem, z^10 + z^(-10) = 2.

If z is a complex number satisfying z+1/z=1
calculate z^10+z^(-10)

Answer see:

https://web2.0calc.com/questions/need-help-please_46

https://web2.0calc.com/questions/please-help_53742

https://web2.0calc.com/questions/if-z-is-a-complete-number-satisfying

$z^{10} + z^{-10} = -1$