complex numbers

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 +...

Can someone pls help with Question 17, and Question 16 (part d)? Thank you so much! 😀

hi, is it possible to solve this question without finding all 6 roots and converting them to polar? thanks

gday y'all, what's the quickest way to do this? also can someone explain this: solutions show k=0,1,2,3,4,5,6 but this is out of the restriction as -pi=<theta=<pi, correct results would be k=0,+/-1,+/-2,+/-3 ? thanks in advance

Hi all, Just want to check if i can use this formula to solve questions like this. Works every time and saved me a lot of working.