# For what values is the expression always real?

1. May 8, 2015

### Bashyboy

1. The problem statement, all variables and given/known data
I have the expression $a_2 \overline{\beta} + a_3 \beta$ involving complex variables, where $|\beta| \le 1$. I was wondering, is it possible to determine for what $a_2$ and $a_3$ the expression is always real, for every $\beta$ satisfying $|\beta| \le 1$; or is there insufficient information?

2. Relevant equations

3. The attempt at a solution

2. May 8, 2015

### Staff: Mentor

An attempt is required. Please start a new thread that includes what you have tried.