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gooooooldfish
@gooooooldfish
July 2022
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Помогите с задачей через дискриминанты, пожалуйста
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nKrynka
X² - (5 + k)x + (k² + 6) = 0
x₁ + x₂ = 5 + k
x² - (k² + 4) + 42 = 0
x₃ + x₄ = k² + 4
По условию задачи: (x₃ + x₄) - (x₁ + x₂) = 5
k² + 4 - 5 - k = 5
k² - k - 6 = 0
k₁ = - 2
k₂ = 3
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Answers & Comments
x₁ + x₂ = 5 + k
x² - (k² + 4) + 42 = 0
x₃ + x₄ = k² + 4
По условию задачи: (x₃ + x₄) - (x₁ + x₂) = 5
k² + 4 - 5 - k = 5
k² - k - 6 = 0
k₁ = - 2
k₂ = 3