Solve for x in this cubic equation #maths #mathematics

Mathematics, in this video we'll solve equation

[marcuscarlsson]

The roots of this equation are incredibly symetrical. Writing x=e^(iy) yields all 3 solutions almost immediately, and exposes the cool symmetry which one otherwise misses.

[Bixee]

Why can’t he just bring the eight across to get x^3 = 8 and cube root both sides?

[Shawnyisbest]

You can automatically solve it when it is x^3-2^3 and you get x is 2