I need help with this problem:
Let Zk (k = 1, ... , n) be complex numbers lying on the same side of a straight line passing through the origin. Show that
z1 + z2 + ... + zn ≠ 0 and
1/z1 + 1/z2 + ... + 1/zn ≠ 0
I need help with this problem:
Let Zk (k = 1, ... , n) be complex numbers lying on the same side of a straight line passing through the origin. Show that
z1 + z2 + ... + zn ≠ 0 and
1/z1 + 1/z2 + ... + 1/zn ≠ 0