Question

$frac{4 x^{2} -5x+1}{2-x} geq 0$

Answer 1

ОДЗ х≠2 т.к 2-х≠0
4х²-5х+1≥0     4x²-5x+1<0
2-х>0               2-x<0
4x²-5x+1=0
D=25-16=9
x₁=(5+3)/8=1
x₂=(5-3)/8=1/4=0,25
x∈(-∞;0.25]∪[0.25;1]∪[1;2)