12 . |
( a ) |
6
Solve the equation z �1�
0, z �
|
, giving the answers in |
|
|
modulus-argument form . |
|
( b ) Hence , solve the equation
� � Let � �cos � isin ,
6 6 z
3 p �� � � and
� z �1� 0.
4 2
11 9 q �� � � . It is given that
1 � � � 3 . �
( c ) ( i ) Form a quadratic equation of z , z � , with roots p and q .
[ 4 ]
[ 4 ]
( ii ) Hence , form a quadratic equation of z , z � , with roots 2 p and 2q .
[ 12 ]
© SE Production Limited 22 All Rights Reserved 2021