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Oksana321
@Oksana321
August 2022
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Даю 30 баллов!
Нужно решение уравнения
х^2 + 4/х^2 + х + 2/х - 2 = 0
Ответы должны быть -2 и -1
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mikael2
Verified answer
(x+2/x)²=x²+4+4/x²
(x+2/x)²+(x+2/x)-6=0
x+2/x=z
z²+z-6=0² по Виету z1=-3 z2=2
x+2/x=2 x²-2x+2=0 D=4-8<0 решен. нет
x+2/x=-3 x²+3x+2=0 по Виету корни x1=-2 x2=-1
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Answers & Comments
Verified answer
(x+2/x)²=x²+4+4/x²(x+2/x)²+(x+2/x)-6=0
x+2/x=z
z²+z-6=0² по Виету z1=-3 z2=2
x+2/x=2 x²-2x+2=0 D=4-8<0 решен. нет
x+2/x=-3 x²+3x+2=0 по Виету корни x1=-2 x2=-1