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alenka5alenka
@alenka5alenka
August 2022
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Denik777
Verified answer
Сделаем замену x=t+1. Тогда уравнение превратится в
1/(t²-1)+2/t²=2
Отсюда t²+2t²-2=2t⁴-2t², t≠-1,0,1.
2t⁴-5t²+2=0
t₁=±√2, t₂=±1/√2
Ответ: 1±√2, 1±1/√2
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Answers & Comments
Verified answer
Сделаем замену x=t+1. Тогда уравнение превратится в1/(t²-1)+2/t²=2
Отсюда t²+2t²-2=2t⁴-2t², t≠-1,0,1.
2t⁴-5t²+2=0
t₁=±√2, t₂=±1/√2
Ответ: 1±√2, 1±1/√2