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Home » High Stakes and Deadly Pitfalls: Why Your Next Move Could Cost Everything! - Upplift

High Stakes and Deadly Pitfalls: Why Your Next Move Could Cost Everything! - Upplift

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 \[ z^2 + (1 + i)z + i = 0 \]

📌 \[ z = \frac{-(1 + i) \pm \sqrt{(1 + i)^2 - 4(1)(i)}}{2} \]

📌 First, compute the discriminant:

📌 \[ (1 + i)^2 = 1 + 2i + i^2 = 1 + 2i - 1 = 2i \]

📌 \[ 4 \cdot i = 4i \]

📌 \[ \text{Discriminant} = 2i - 4i = -2i \]

📌 Now, compute \( \sqrt{-2i} \). Let \( \sqrt{-2i} = a + bi \), then:

📌 \[ (a + bi)^2 = a^2 - b^2 + 2abi = -2i \]

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