1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

A complex Complex inequality

  1. Aug 4, 2014 #1
    1. The problem statement, all variables and given/known data
    Let b and a be two complex numbers. Prove that
    |1+ab| + |a + b| ≥ √(|a²-1||b²-1|).

    2. Relevant equations
    Complex algebra

    3. The attempt at a solution
    I don't know how to proceed. I posted it here to get some ideas :p
     
  2. jcsd
  3. Aug 4, 2014 #2

    jbunniii

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Try factoring the left hand side:
    $$|a^2 - 1||b^2 - 1| = |(a-1)(a+1)(b-1)(b+1)|$$
    Now see what happens if you rearrange the factors and recombine them.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: A complex Complex inequality
Loading...