Hi all,
This question comes from Cambridge Chapter 3(C) Q15.
a) Show that every root of the equation is imaginary for (1+z)^{2n} + (1-z)^{2n} =0
b) Let the roots be represented by the points P_1, P_2, P_3, ... ,P_{2n} in the Argand diagram, and let O be the origin.
Show that:
OP^2_1 +...