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Home » Caught in the Middle: Batman vs. Catwoman You NEED to See! - American Beagle Club

Caught in the Middle: Batman vs. Catwoman You NEED to See! - American Beagle Club

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 eq 13 - 2i $. So not conjugates. Correct method: Let $ z = x + yi $, $ w = u + vi $. Then:

📌 $ x + u = 2 $, $ y + v = 4 $,

📌 $ (x + yi)(u + vi) = xu - yv + (xv + yu)i = 13 - 2i $.

📌 $ xu - yv = 13 $,

📌 $ xv + yu = -2 $.

📌 From $ u = 2 - x $, $ v = 4 - y $. Substitute:

📌 $ x(2 - x) - y(4 - y) = 13 \Rightarrow 2x - x^2 - 4y + y^2 = 13 $,

📌 $ x(4 - y) + y(2 - x) = 4x - xy + 2y - xy = 4x + 2y - 2xy = -2 $.

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