+0  
 
0
70
1
avatar

Let z be a complex number such that z + 1/z = -1. Find z^3.

 May 26, 2021
 #1
avatar+2207 
+1

z + 1/z = -1

(z + 1/z)^3 = -1

z^3 + 3z + 3/z + 1/z^3 = -1

z^3 + 3(z + 1/z) + 1/z^3 = -1

z^3 + 3(-1) + 1/z^3 = -1

z^3 + 1/z^3 = 2

can you take it from here?

 

=^._.^=

 May 26, 2021

11 Online Users

avatar