1. ## problem

Consider the following equation
(2 − i)Z^9 + 5Z^8 − (1 + 2i)Z^7 + 7Z^2 − 2Z + 17 = 0.
This equation has 9 zeros, Z1,Z2, . . . ,Z9.
a) Find the sum of different pairs of these zeros,

$\sum$1=<j<k=<9 ZjZk.
b) Find the sum of the squares of these zeros,

$\sum$n=1 Z2n
.
c) Find the sum of the cubes of these zeros,

$\sum$m=1 Z3m

Consider the following equation
(2 − i)Z^9 + 5Z^8 − (1 + 2i)Z^7 + 7Z^2 − 2Z + 17 = 0.
This equation has 9 zeros, Z1,Z2, . . . ,Z9.
a) Find the sum of different pairs of these zeros,

$\sum$1=<j<k=<9 ZjZk.
b) Find the sum of the squares of these zeros,

$\sum$n=1 Z2n
.
c) Find the sum of the cubes of these zeros,

$\sum$m=1 Z3m
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