$$\left. \begin{array} { l } { a = 2 + \sqrt { 3 } } \\ { \frac { 1 } { a } - \frac { 1 } { 2 } } \end{array} \right.$$
$b=\frac{3}{2}-\sqrt{3}\approx -0.232050808$
$$b=\frac{1}{2+\sqrt{3}}-\frac{1}{2}$$
$$b=\frac{2-\sqrt{3}}{\left(2+\sqrt{3}\right)\left(2-\sqrt{3}\right)}-\frac{1}{2}$$
$$b=\frac{2-\sqrt{3}}{2^{2}-\left(\sqrt{3}\right)^{2}}-\frac{1}{2}$$
$$b=\frac{2-\sqrt{3}}{4-3}-\frac{1}{2}$$
$$b=\frac{2-\sqrt{3}}{1}-\frac{1}{2}$$
$$b=2-\sqrt{3}-\frac{1}{2}$$
$$b=\frac{3}{2}-\sqrt{3}$$
$$a=2+\sqrt{3}$$ $$b=\frac{3}{2}-\sqrt{3}$$
Show Solution
Hide Solution
