Least value of complex expression

Algebra Level 2

For a complex number zz, find the smallest possible value of ∣z−3∣2+∣z−5+2i∣2+∣z−1+i∣2.|z-3|^2+|z-5+2i|^2+|z-1+i|^2.

Clarification: i=−1i=\sqrt{-1}.

Sandeep Bhardwaj by Sandeep Bhardwaj
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