Adding Absolute value to a complex number – math.stackexchange.com

Adding Absolute value to a complex number – math.stackexchange.com

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I would like to know my error in this problem. Find the complex number such that: $$ z+\lvert z\rvert=2+8i$$ So far, I have: $$a+bi+\sqrt{a^2+b^2} = 2 + 8i$$ $$a^2-b^2+a^2+b^2=4-64$$ $$2a^2 -b^2 + ...

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