SOLUTION: Solve 125x^3 + 343 = 0. Find all complex roots. How do I do this?

Question 374356: Solve 125x^3 + 343 = 0. Find all complex roots.
How do I do this?
Answer by Jk22(389) (Show Source): You can put this solution on YOUR website!
(5x)^3 = -49*7 = -(350 - 7) = -343 = -7^3

x = -7/5 3root(1) = -7/5 3root(exp(2pi*i*m)) = -7/5 exp(2/3*pi*m), m=0,1,2

= -7/5, -7/5exp(2*pi*i/3), -7/5exp(4*pi*i/3)
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