Factor by grouping and find the zeros
x^3 - 10x^2 + 25x - 250 = 0
1 answer:
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
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