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Akihirooo
@Akihirooo
July 2022
2
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Дано: x^2+1/x^2=14.
Найти:x+1/x=?
Заранее спасибо
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AnonimusPro
Verified answer
(x+1/x)^2=x^2+2+1/x^2
x^2+1/x^2=(x+1/x)^2-2
(x+1/x)^2=14+2
(x+1/x)^2=16
x+1/x=4
x+1/x=-4
Ответ: 4 или -4
6 votes
Thanks 6
Akihirooo
спасибо большое
Lesben
Verified answer
X≠0
(x+1/x)²=x²+2+1/x²=x²+1/x²+2=14+2=16
x²+1/x²=14
/x+(1/x)/=4
a)x+1/x=4, ecli x=2+-√3
b)x+1/x=-4, ecli x=-2+-√3
3 votes
Thanks 0
Akihirooo
спасибо
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Answers & Comments
Verified answer
(x+1/x)^2=x^2+2+1/x^2x^2+1/x^2=(x+1/x)^2-2
(x+1/x)^2=14+2
(x+1/x)^2=16
x+1/x=4
x+1/x=-4
Ответ: 4 или -4
Verified answer
X≠0(x+1/x)²=x²+2+1/x²=x²+1/x²+2=14+2=16
x²+1/x²=14
/x+(1/x)/=4
a)x+1/x=4, ecli x=2+-√3
b)x+1/x=-4, ecli x=-2+-√3