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НоВыЙ13
@НоВыЙ13
August 2022
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ДАЮ 15 БАЛЛОВ!
Решите уравнение:
x^2 + 1/x^2 + x + 1/x = 0
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mikael2
Verified answer
X²+2+1/x² +x+1/x-2=0 x≠0
(x+1/x)²+x+1/x -2=0
x+1/x=t t²+t-2=0 t=1 t=-2
x+1/x=1 x²-x+1=0 D<0 корней нет
x+1/x=-2 x²+2x+1=0 (x+1)²=0
x= -1
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Answers & Comments
Verified answer
X²+2+1/x² +x+1/x-2=0 x≠0(x+1/x)²+x+1/x -2=0
x+1/x=t t²+t-2=0 t=1 t=-2
x+1/x=1 x²-x+1=0 D<0 корней нет
x+1/x=-2 x²+2x+1=0 (x+1)²=0 x= -1