ដោះស្រាយ (a-2)x^2+(4-a)x-2geq0

$$( a - 2 ) x ^ { 2 } + ( 4 - a ) x - 2 \geq 0$$

ដោះស្រាយសម្រាប់ x

$$\left\{\begin{matrix}x\in \begin{bmatrix}\frac{|a|+a-4}{2\left(a-2\right)},-\frac{|a|-a+4}{2\left(a-2\right)}\end{bmatrix}\text{, }&a<2\\x=-\frac{2}{a-2}\text{; }x=1\text{, }&a\leq 0\\x\leq -\frac{2}{a-2}\text{, }&a>2\\x\geq 1\text{, }&a\geq 2\end{matrix}\right.$$

ដោះស្រាយសម្រាប់ a

$$\left\{\begin{matrix}a\leq 2-\frac{2}{x}\text{, }&x>0\text{ and }x\leq 1\\a\geq 2-\frac{2}{x}\text{, }&x<0\text{ or }x\geq 1\\a\in \mathrm{R}\text{, }&x=1\\a=2-\frac{2}{x}\text{, }&x\neq 0\end{matrix}\right.$$