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# Complex numbers

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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.

Jun 28, 2018

#1
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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)

Jun 29, 2018
#2
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A proper answer to this question was posted some months ago.

Ask Melody as to how to search for it.

Jun 29, 2018