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@UsEnOk
August 2022
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[tex]3 x^{2} -10x-7+ \frac{x-4}{4-x} =0[/tex]Найти сумму корней:
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farhat4
ОДЗ: x ≠ 4
Тогда
3x² - 10x - 7 - (x-4)/(x-4) = 0
3x² - 10x - 8 = 0
D = 10² - 4×3×(-8) = 100 + 96 = 196; √D=14
x₁ = (10 - 14) / (2 × 3) = -4 / 6 = -²/₃
x₂ = (10 + 14) / (2 × 3) = 24 / 6 = 4 - не удовлетворяет ОДЗ
Сумма корней -²/₃
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Answers & Comments
Тогда
3x² - 10x - 7 - (x-4)/(x-4) = 0
3x² - 10x - 8 = 0
D = 10² - 4×3×(-8) = 100 + 96 = 196; √D=14
x₁ = (10 - 14) / (2 × 3) = -4 / 6 = -²/₃
x₂ = (10 + 14) / (2 × 3) = 24 / 6 = 4 - не удовлетворяет ОДЗ
Сумма корней -²/₃