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Home » Thus, the probability is $ \boxed{\frac40243} $. - Dyverse

Thus, the probability is $ \boxed{\frac40243} $. - Dyverse

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 But wait — \( z^2 = -2 \) has exactly two solutions in \( \mathbb{C} \):

📌 z = \sqrt{2}i, \quad z = -\sqrt{2}i

📌 These are distinct and purely imaginary. The real part of each is 0.

📌 Thus, the sum of the real parts is:

📌 Even though there are four roots? Let's double-check factorization.

📌 z^4 + 4z^2 + 4 = (z^2 + 2)^2 = 0

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