z+1/z=2; z=?

Question

(1/z is a fraction)

Please show work.
I got C.1 as my answer.

A.Square root of 3
B.1/2
C.1
D.1 1/2
E.2

Answer 1

multiply each term by z

z^2 + 1 = 2z
z^2 - 2z + 1 = 0
(z-1)^2 = 0
z-1 = 0
z = 1

you had that, good job