Answer:
The answer to your question is x₁ = 10; x₂ = 5i; x₃ = -5i
Step-by-step explanation:
x³ - 10x² + 25x - 250 = 0
Factor by grouping
x²(x - 10) + 25(x - 10) = 0
(x - 10) (x² + 25) = 0
x₁ - 10 = 0
x₁ = 10
x² + 25 = 0
x² = -25
x² = ± √-25
x² = ± √25i²
x₂ = 5i
x₃ = -5i