+0

# Let a, b and c be complex numbers such that |a|=|b|=|c|=1 and

0
32
2

Let a, b and c be complex numbers such that |a|=|b|=|c|=1 and

$$\frac{a^2}{bc} + \frac{b^2}{ac} + \frac{c^2}{ab} = -1.$$

Find all possible values of |a+b+c|

Enter all the possible values, separated by commas.

May 2, 2022

#1
0

The possible values of |a + b + c| are 1, sqrt(3), and 3.

May 2, 2022
#2
+1