An algebra problem by Anish Ray
Algebra
Level
pending
Let x; y; z be non-zero real numbers. Suppose α,β,ϒ are complex numbers such that |α|= |β| = |ϒ| = 1. If x+y+z = 0 = αx+βy+ϒz,then which one is correct
α>β=ϒ
α=ϒ>β
α=β=ϒ
α≥β≥ϒ
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