If z1, 2, 23 E C, solve the system of equations: |zı| = |22| = |23| 21 + 22 + z3 =1 212223 = 1

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A: A detailed solution is given below.

Q: If z1, z2, z3 E C, solve the system of equations: |zı| = |2| = |z3| %3D z1 + 22 + z3 =1 212223 = 1

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