Let \(z\) be a nonreal complex number such that \(|z| = 1.\) Find the real part of \(\frac{1}{1 - z}.\)

Guest Mar 4, 2021

#1**0 **

Awww please don't be sad.

I was just doing some alcumus and by the time I got 5 questions wrong, I was about to cry.

Considering I just failed by last 5 algebra problems, idk how much you should trust my answer, but I'll give it a try.

z = a + bi

b = 0 since we're looking for the real part of z.

z = a + 0i

a^2 +0i^2 = 1^2

a = +/- 1

Testing for both, a can't be 1, since 1/0 doesn't exist.

Therefore, a = -1.

1/(1--1) = 1/2

I hope this helps. :)))

=^._.^=

catmg Mar 5, 2021