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Find all (real or nonreal) z satisfying

(z - 3)^2 + (z - 5)^2 = -8

 Oct 12, 2020
 #1
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(z - 3)^2 + (z - 5)^2 = -8   expand and simplify to

2z-16z + 42 = 0   

Quadratic Formula shows z =   4 +- i sqrt 5

 Oct 12, 2020

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