X²-4x+3=0 x1+x2=4 U x1*x2=3⇒x1=3 U x2=1 x²-3x+2=0 x1+x2=3 U x1*x2=2⇒x1=2 U x2=1 1-2/(2-x)=(2-x-2)/(2-x)=-x/(2-x)=x/(x-2) (x-3)(x-1)/(x-2)(x-1)*x/(x-2)≤0 x(x-3)/(x-2)²≤0,x≠1 x=0 x=3 x=2 + _ _ + -------------[0]----------------------(2)------------------[3]---------------- x∈[0;1) U (1;2) U (2;3] Ответ 1
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X²-4x+3=0x1+x2=4 U x1*x2=3⇒x1=3 U x2=1
x²-3x+2=0
x1+x2=3 U x1*x2=2⇒x1=2 U x2=1
1-2/(2-x)=(2-x-2)/(2-x)=-x/(2-x)=x/(x-2)
(x-3)(x-1)/(x-2)(x-1)*x/(x-2)≤0
x(x-3)/(x-2)²≤0,x≠1
x=0 x=3 x=2
+ _ _ +
-------------[0]----------------------(2)------------------[3]----------------
x∈[0;1) U (1;2) U (2;3]
Ответ 1