$$\alpha+B=\frac{1}{4},\alpha B=-1$$
$\alpha =\frac{\sqrt{65}+1}{8}\approx 1.132782219\text{, }B=\frac{1-\sqrt{65}}{8}\approx -0.882782219$
$\alpha =\frac{1-\sqrt{65}}{8}\approx -0.882782219\text{, }B=\frac{\sqrt{65}+1}{8}\approx 1.132782219$
