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MariySyslina
@MariySyslina
July 2022
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Помогите решить уравнение.Очень нужно
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m11m
Verified answer
Х²+х⁻²=2
х²+
1
=2
х²
Пусть х²=у
у+
1
=2
у
у²+1=2у
у²-2у+1=0
(у-1)²=0
у-1=0
у=1
х²=1
х²-1=0
(х-1)(х+1)=0
х-1=0 х+1=0
х₁=1 х₂=-1
Ответ: -1; 1.
1 votes
Thanks 0
Nina1952
Verified answer
Смотри здесь ььььььььььь
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Answers & Comments
Verified answer
Х²+х⁻²=2х²+ 1 =2
х²
Пусть х²=у
у+ 1 =2
у
у²+1=2у
у²-2у+1=0
(у-1)²=0
у-1=0
у=1
х²=1
х²-1=0
(х-1)(х+1)=0
х-1=0 х+1=0
х₁=1 х₂=-1
Ответ: -1; 1.
Verified answer
Смотри здесь ььььььььььь