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For the complex number Z , the sum of all the solutions of Z 2 + Z = Z ¯ 2 is equal to

Correct answer

0

Step-by-step solution

Z 2 + Z = Z ¯ 2 … 1 Taking conjugate, Z ¯ 2 + Z = Z 2 … 2 Adding 1 & 2 , we get, ⇒ 2 Z = 0 ⇒ Z = 0

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