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$ 4[(x+3)^2 - 9] - 9[(y-1)^2 - 1] = -9 $.
$ 4(x+3)^2 - 36 - 9(y-1)^2 + 9 = -9 $.
$ 4(x+3)^2 - 9(y-1)^2 = 18 $.
$ rac{(x+3)^2}{4.5} - rac{(y-1)^2}{2} = 1 $.
$ x + u = 2 $, $ y + v = 4 $,
$ (x + yi)(u + vi) = xu - yv + (xv + yu)i = 13 - 2i $.
$ xu - yv = 13 $,
$ xv + yu = -2 $.
$ 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 $.