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Home » Light Yagami vs. Ryuzaki: Which Champion Will Rise from the Ashes? - American Beagle Club

Light Yagami vs. Ryuzaki: Which Champion Will Rise from the Ashes? - American Beagle Club

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Try \( a = -b \):

📌 Let \( b = -a \), then (2): \( 2a(-a) = -2a^2 = -2 \Rightarrow a^2 = 1 \Rightarrow a = \pm 1 \)

📌 If \( a = 1 \), \( b = -1 \), then \( (a + bi)^2 = (1 - i)^2 = 1 - 2i + i^2 = 1 - 2i - 1 = -2i \) ✅

📌 If \( a = -1 \), \( b = 1 \), \( (-1 + i)^2 = 1 - 2i + i^2 = -2i \) ✅

📌 So the square roots are \( 1 - i \) and \( -1 + i \)

📌 \[ z = \frac{-(1 + i) \pm (1 - i)}{2} \]

📌 First solution:

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