x₁ = - 1 - √2 x₂ = - 1 + √ 2
x² + bx + c = 0
- b = x₁ + x₂ = - 1 - √2 - 1 + √2 = - 2
b = 2
c = x₁ * x₂ = (- 1 - √2)(- 1 + √2) = (- 1)² - (√2)² = 1 - 2 = - 1
c = - 1
Ответ : x² + 2x - 1 = 0
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x₁ = - 1 - √2 x₂ = - 1 + √ 2
x² + bx + c = 0
- b = x₁ + x₂ = - 1 - √2 - 1 + √2 = - 2
b = 2
c = x₁ * x₂ = (- 1 - √2)(- 1 + √2) = (- 1)² - (√2)² = 1 - 2 = - 1
c = - 1
Ответ : x² + 2x - 1 = 0