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Vl23
@Vl23
July 2022
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Помогите решить уравнение
|x-1| + |x-2| + |x-3| = x
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mikael2
|x-1| + |x-2| + |x-3| = x
---------------1---------------------2----------------------3-----------------------
I II III IV
I. x<1 -x+1-x+2-x+3=x 4x=-6
x=-3/2
II 2>x
≥1 x-1-x+2-x+3=x 2x=-2 x=-1 no
III 3 > x≥2 x-1+x-2-x+3=x 0*x=0
x∈(3;2]
IV x≥3 x-1+x-2+x-3=x 2x=6
x=3
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Answers & Comments
---------------1---------------------2----------------------3-----------------------
I II III IV
I. x<1 -x+1-x+2-x+3=x 4x=-6 x=-3/2
II 2>x≥1 x-1-x+2-x+3=x 2x=-2 x=-1 no
III 3 > x≥2 x-1+x-2-x+3=x 0*x=0 x∈(3;2]
IV x≥3 x-1+x-2+x-3=x 2x=6 x=3