SOLUTION: Find all the solutions to the equation {{{x^3+125=0}}} Enter the solutions the standard form, in any order. Thank you kindly.

Question 984979: Find all the solutions to the equation
Enter the solutions the standard form, in any order.
Thank you kindly.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
x^3+125=0
factor as sum of cubes
(x+5)(x^2-5x+25)=0
x=-5, one root.
the other has 2 complex roots, conjugates of each other.
x=(1/2)(5+/- sqrt(25-100)) ;; sqrt (-75)=5i sqrt(3)
x=(5/2)+/-(5/2)i sqrt (3)

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