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Question Number 22434 by gopikrishnan005@gmail.com last updated on 18/Oct/17

$$\mathbf{I}\mathrm{m}(2\mathrm{z}+1)/(\mathrm{iz}-1)=2$$

Answered by ajfour last updated on 18/Oct/17

$$2z+1=2iz-2$$$$2x+2iy+1=2ix-2y-2$$$$\Rightarrow 2x+2y=-3and$$$$x=y$$$$so\mathit{z}=-\frac{3}{4}(1+\mathit{i}).$$

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