[tex]\displaystyle\\
\text{Rezolvam ecuatia atasata a acestei inecuatii.}\\\\
x^2 - 3x+2=0\\\\
x_{12}= \frac{-b\pm \sqrt{b^2-4ac} }{2a}= \frac{3\pm \sqrt{9-4\cdot 2} }{2}=
\frac{3\pm \sqrt{9-8} }{2}= \frac{3\pm1}{2}\\\\
x_1=\frac{3-1}{2} =\boxed{1}\\\\
x_2=\frac{3+1}{2} =\boxed{2}\\\\
\text{Functia atasata ecuatiei are semnul lui a in afara radacinilor si }\\
\text{semn opus intre radacini.}\\\\
\Longrightarrow~~~\boxed{\bf x\in (-\infty,~1)~\bigcup~(2,~+\infty)}[/tex]
