The complex Z satisfying the equation Z2 + | Z | = 0 has () A. 1 B. 2 C. 3 d. countless | Math enthusiast | Mathematical art

The complex Z satisfying the equation Z2 + | Z | = 0 has () A. 1 B. 2 C. 3 d. countless

Let z = a + bi (a, B ∈ R), ∵ Z2 + | Z | = 0, ∵ a + bi) 2 + A2 + B2 = 0, ∵ A2-B2 + A2 + B2 + 2abi = 0, ∵ A2 − B2 + A2 + B2 = 02ab = 0. The solution is a = 0 or B = 0, 1, - 1. Then z = 0 or I or - I

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