nhyirabadhanilo
nhyirabadhanilo nhyirabadhanilo
  • 26-11-2019
  • Mathematics
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solve x³-2x²-5x+6=0​

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Аноним Аноним
  • 26-11-2019

x³ - 2x² - 5x + 6 = 0

x³ - x² - x² + x - 6x + 6 = 0

x²(x - 1) - x(x - 1) - 6(x - 1) = 0

(x - 1)(x² - x - 6) = 0

(x - 1)(x² + 2x - 3x - 6) = 0

(x - 1)[x(x + 2) - 3(x + 2)] = 0

(x - 1)(x + 2)(x - 3) = 0

x - 1 = 0 => x₁ = 1

x + 2 = 0 => x₂ = - 2

x - 3 = 0 => x₃ = 3

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