$$\frac { a ^ { 2 } - 1 } { a } = 1 , \frac { a ^ { 6 } - 1 } { a }$$
$a=\frac{1-\sqrt{5}}{2}\approx -0.618033989\text{, }b=6-2\sqrt{5}\approx 1.527864045$
$a=\frac{\sqrt{5}+1}{2}\approx 1.618033989\text{, }b=2\sqrt{5}+6\approx 10.472135955$
