Almost Recovered

Algebra Level 3

Let $a,b,c$ be distinct complex numbers , such that $|a|=|b|=|c|$ and $|b+c-a|=|a|$ . Find the value of $b+c$ .

The answer is 0.0.

1 solution

Neelesh Vij
Dec 17, 2015

Its easy to say $b+c = 0$ then equality holds. But I would like to know the proper method