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Aliisherrr
@Aliisherrr
August 2021
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Кто сможет решить 34. 3)
3ю пожалуйста
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IrkaShevko
Verified answer
По т. Виета x₁ + x₂ = 6/k
x₁² + x₂² + 2x₁x₂ = 36/k²
x₁ * x₂ = 4/k
по условию: x₁ - x₂ = 1
x₁² + x₂² - 2x₁x₂ = 1
x₁² + x₂² = 1 + 8/k
1 + 8/k + 8/k = 36/k² |*k²
k² + 16k - 36 = 0
D = 256 + 144 = 400
k₁ = (-16 -20)/2 = -18
k₂ = (-16 + 20)/2 = 2
Ответ: k = 2 или k = -18
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Aliisherrr
Спасибо вам Ирка❤️
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Answers & Comments
Verified answer
По т. Виета x₁ + x₂ = 6/kx₁² + x₂² + 2x₁x₂ = 36/k²
x₁ * x₂ = 4/k
по условию: x₁ - x₂ = 1
x₁² + x₂² - 2x₁x₂ = 1
x₁² + x₂² = 1 + 8/k
1 + 8/k + 8/k = 36/k² |*k²
k² + 16k - 36 = 0
D = 256 + 144 = 400
k₁ = (-16 -20)/2 = -18
k₂ = (-16 + 20)/2 = 2
Ответ: k = 2 или k = -18