Question: The complex number u is defined by i. Without using a calculator and showing your working, express u in the form x + iy, where

The complex number u is defined by(1+2i) 2+i

i. Without using a calculator and showing your working, express u in the form x + iy, where x and y are real.

ii. Sketch an Argand diagram showing the locus of the complex number z such that z − u = u.

(1+2i) 2+i

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