Let \(z\) be a nonreal complex number such that \(|z| = 1.\) Find the real part of \(\frac{1}{1 - z}.\)
+2401 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. :)))
=^._.^=
