SUMMARY POINTs
� Forms of complex numbers : 1 . z �a � bi
: Cartesian form 2 . z � r( cos� �isin �) � rcis�
: Modulus-argument form
3 . z � i
re �
: Euler form
� Properties of moduli and arguments of complex numbers z
1
and z
2
:
1 . z1z2 � z1 z2
2 . z z
1
� z z
1
2 2
3 . arg ( z1z2 ) �arg z1 � arg z2
1
4 . arg � z � � � � arg z � arg z � z2
�
1 2
6
� If z �a � bi is a root of the polynomial equation pz ( ) � 0 also a root of pz ( ) � 0
, then
* z �a � bi is
Solutions of Chapter 6
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