- #1

- 726

- 27

**[solved]Complex inequality**

## Homework Statement

You have the two inequalities, where k is a complex number;

[tex] |k+\sqrt{k^2-1}|<1[/tex]

and

[tex] |k-\sqrt{k^2-1}| <1[/tex]

Show that if ##|k|>1##, then the second inequality is fulfilled, while the first one is impossible for any value of k.

## The Attempt at a Solution

Those absolute-value signs freak me out.. Can somebody show me what to do? I'm sure this should be really easy but my brain is totally burnt out right now

Last edited: