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DenM4a1
@DenM4a1
July 2022
1
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Решить уравнение:
2(x+ 1/x)^2 + x+ 1/x - 10=0
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eVa74
X+1/x=t
2t^2+t-10=0
D=81
t1=2 t2=-5/2
x+1/x-2=0 x+1/x+5/2=0
x^2-2x+1=0 2x^2+5x+2=0
(x-1)^2=0 D=9
x1=x2=1 x3=-2 x4=-1/2
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Answers & Comments
2t^2+t-10=0
D=81
t1=2 t2=-5/2
x+1/x-2=0 x+1/x+5/2=0
x^2-2x+1=0 2x^2+5x+2=0
(x-1)^2=0 D=9
x1=x2=1 x3=-2 x4=-1/2