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

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


   



Question 984979: Find all the solutions to the equation x%5E3%2B125=0
Enter the solutions the standard form, in any order.
Thank you kindly.

Answer by Boreal(15235) About Me  (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)
graph%28300%2C300%2C-10%2C10%2C-500%2C500%2C%28x%5E3%29%2B125%29