Answer:
x = 10 or x = -5 + 5*i*sqrt(3) or x = -5 - 5*i*sqrt(3)
Step-by-step explanation:
x^3 = 1000
x^3 - 1000 = 0
(x - 10)(x^2 + 10x + 100) = 0
x = 10 or x^2 + 10x + 100 = 0
x = 10 or x^2 + 10x + 25 = -100 + 25
x = 10 or (x + 5)^2 = -75
x = 10 or x + 5 = sqrt(-75) or x + 5 = -sqrt(75)
x = 10 or x = -5 + 5*i*sqrt(3) or x = -5 - 5*i*sqrt(3)
