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Home » e(6) = 6^2 - 4(6) + 7 = 36 - 24 + 7 = 19 - Abu Waleed Tea

e(6) = 6^2 - 4(6) + 7 = 36 - 24 + 7 = 19 - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 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:

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

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