SOLUTION: x=(-1/2+(root 3)/2 i))^5 + (-1/2-(root 3)/2 i))^5

Algebra.Com
Question 586692: x=(-1/2+(root 3)/2 i))^5 + (-1/2-(root 3)/2 i))^5
Answer by ad_alta(240)   (Show Source): You can put this solution on YOUR website!
This problem looks really nasty, but it isn't that bad. The first term comes to -1/2-[sqrt(3)/2]*i, and the second is simply the complex conjugate. Thus, the answer is -1.
RELATED QUESTIONS

1/root 3- root... (answered by Alan3354)
How do I solve 5 square root 20 + 3 square root 98 - 2 square root 45 + the square root... (answered by edjones)
Here are a few problems that I am not sure if I got them right. Thanks. Paul 1)... (answered by ankor@dixie-net.com)
1+(1/x^2)=(3/x) what are the solutions to the equation? A. x=(3/2)+(square root of... (answered by KMST)
1+(1/x^2)=(3/x) what are the solutions to the equation? A. x=(3/2)+(square root of... (answered by Fombitz)
how do I solve the square root of x+2 -1 outside the root = square root of... (answered by bucky)
when I have the equation square root of(x+5)=2*square root of (x-3) + 1 how do I start... (answered by lwsshak3)
1+(1/x^2)=(3/x) what are the solutions to the equation? A. x=(3/2)+(square root of... (answered by Theo)
hai i am doing B.Sc(maths) Ist year at madurai kamaraj university in correspondence. (answered by venugopalramana)