if omega is the nth root of unity and Z1...

if `omega` is the nth root of unity and `Z_1 , Z_2 ` are any two complex numbers , then prove that .
`Sigma_(k=0)^(n-1)| z_1+ omega^k z_2|^2=n{|z_1|^2+|z_2|^2}` where `n in N `

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