Question

$$\left. \begin{array} { l } { b } \\ { \frac { \sqrt { 7 } - 1 } { \sqrt { 7 } + 1 } - \frac { \sqrt { 7 } + 1 } { \sqrt { 7 } - 1 } = a + b \sqrt { 7 } } \end{array} \right.$$

Solve for a, b, c

$a=-\frac{\sqrt{7}\left(3c+2\right)}{3}$
$b=c$