# Properties of complex numbers

Not what you're looking for?

Let z be a complex number z=x+iy

x <>0 and y<>0

Prove:

1. If z+1/z is real then |z|=1

2. If |z|=1 then z+1/z is real

##### Purchase this Solution

##### Solution Summary

This problem demonstrates the properties of complex number and the transformation between Cartesian and polar representations.

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Probability Quiz

Some questions on probability

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.