AoPS

MATHEMATICS · Multi-part · AoPS · Mathematics · Complex Numbers · Complex Numbers

Problem

Let

z = 3 - 2i

and

w = -1 + i

. (1) Represent

z

and

w

on an Argand diagram. (2) Find

\frac{w}{z}

in the form

a + bi

. (3) Find the real numbers

p

and

q

such that

pz + qw = 6

.

Related theory

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