ОДЗ
x³-3x²+2x≥0
x(x²-3x+2)≥0
x=0
x²-3x+2=0
x1+x2=3 U x1*x2=2
_ + _ +
-----------[0]--------[1]-------------[2]------------------
0≤x≤1 U x≥2
x-1≥0⇒x≥1
x∈[2;∞) U {1}
√x(x-1)(x-2)-√(x-1)²=0
√(x-1)*(√x(x-2)-√(x-1))=0
√(x-1)=0⇒x-1=0⇒x=1
√x(x-2)-√(x-1)=0
√x(x-2)=√(x-1)
x²-2x=x-1
x²-3x+1=0
D=9-4=5
x1=(3-√5)/2∉ОДЗ
x2=(3+√5)/2