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📅 May 6, 2026 👤 scraface

May 06, 2026

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$ 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 $.
First equation: $ -x^2 + y^2 + 2x - 4y = 13 $.
Second equation: $ 4x + 2y - 2xy = -2 \Rightarrow 2x + y - xy = -1 $.
Let $ y = -1 - 2x + xy $ â circular. Solve second: $ 4x + 2y = 2xy -...

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