Nice Algebra Math Simplification Problem

Nice Algebra Math Simplification Problem

Nice Algebra Math Simplification.
Find the value of X.
A nice problem.
Problem math.
Nice square root math.
Nice Problem Math
Easy Algebra
Find x
How to solve
Square Root math
Nice square root math
Nice exponent math.
Olympiad Math

[Pietruszka]

x^3=5^3 \ ^(1/3) ==> x1=5
The modulus of the remaining complex roots is also 5
using Euler's formula we get
x2=5*( cos(2*PI/3) +i*sin(2*PI/3) )=5*(-0.5+i*SQRT(3)/2)
x3=5*( cos(4*PI/3) +i*sin(4*PI/3) )=5*(-0.51i*SQRT(3)/2)