Question

Соедините линиями уравнение и его корни:
(Даю 25баллов)

Answer 1

|x| - 1 = 0

|x| = 1

x₁ = 1  x₂ = -1

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x + |x| = 0

x >= 0   x + x = 0  x₁ = 0

x < 0

x - x = 0

0 = 0 все корни < 0  

x₂ = -1 x₃ = -2 x₄ = -3

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x² - 3x = 0

x(x - 3) = 0

x₁ = 0

x₂ = 3

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x² + 3x = 0

x(x + 3) = 0

x₁ = 0

x₂ = -3

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x³ + 27 = 0

(x + 3)(x² - 3x + 9) = 0

x₁ = -3

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x³ - 4x = 0

x(x² - 4) = 0

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

x₁ = 0  x₂ = -2  x₃ = 2