2x²+2≤3x+9
2x²-3x+2-9≤0
2x²-3x-7=0
D=(-3)²-4*2*(-7)=9+56=65
x₁=(3-√65)/4≈1,27
x₂=(3+√65)/4≈2,77
- - +
--------------------(1,27)---------------------(2,77)------------------
x∈(-∞;2,77]
(x-2)(x+3)(x-1)²≥0
x-2=0 x+3=0 (x-1)²=0
x=2 x=-3 x-1=0
x=1
+ - - +
------------------(-3)-----------------------(1)-----------------(2)------------------
x∈(-∞;-3]∪[2;+∞)