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

 May 2, 2022
 #2
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How'd you get that answer?

Guest May 2, 2022

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