## Solves the quadratic inequality and draws the chart.

 $Quadratic\ inequality\\\vspace{5}\hspace{30} ax^2+bx+c\ \left\{\begin{array}{1}{\large{\gt0}\\ {\ge0}\\ {\lt0}\\ {\le0}} \end{array}\right.$
 inequalty: ax2+bx+c  ＞0 ≧0 ＜0 ≦0 a (a≠0) b c
 6dgt10dgt14dgt18dgt22dgt26dgt30dgt34dgt38dgt42dgt46dgt50dgt
 $\normal Quadratic\ equation\hspace{10} ax^2+bx+c=0\\\vspace{5}(1)\ roots:\hspace{30} \alpha={\large\frac{-b+\sqrt{b^2-4ac}}{2a}}\\\hspace{100} \beta={\large\frac{-b-\sqrt{b^2-4ac}}{2a}} \\\vspace{5}(2)\ double\ root:\ \alpha={\large\frac{-b}{2a}}\ ,\qquad if\ b^2-4ac=0\\$

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