Prove that if \(w,z\) are complex numbers such that \(|w|=|z|=1\) and \(wz\ne -1\), then \(\frac{w+z}{1+wz}\) is a real number.

Guest Jun 28, 2018

#1**0 **

Ok let’s say w and z equals -1. Imput it in.

1. |-1| = |-1| = 1. It works since the absolute value of -1 is 1

2. -1*-1=1 because negatives mutiplied by negatives is a positive.

the third one I’m going to do it top then bottom.

3. top: -1 + -1 = -2

bottom: 1 + (-1 * -1) = 1 + 1 = 2

together: -2 /2 = -1 and -1 is a real number. (Unless you mean it has to be a positive number)

twistedtree
Jun 29, 2018