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Harlisas
@Harlisas
July 2022
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Найдите целый корень уравнения:
2х-5/х - х/2х-5=0
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sangers1959
Verified answer
(2x-5)/x-x/(2x-5)=0 ОДЗ: x≠0 x≠2,5
(2x-5)²-x²=0
4x²-20x+25-x²=0
3x²-20x+25=0 D=100
x₁=5 x₂=5/3
Ответ: x=5.
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Answers & Comments
Verified answer
(2x-5)/x-x/(2x-5)=0 ОДЗ: x≠0 x≠2,5(2x-5)²-x²=0
4x²-20x+25-x²=0
3x²-20x+25=0 D=100
x₁=5 x₂=5/3
Ответ: x=5.